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Finding the Fourth Proportional to 21,731,353.30, 32,597,029.95 and 13,122,009.10

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Solution

The fourth proportional to 21,731,353.30, 32,597,029.95 and 13,122,009.10 is: 19,683,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,731,353.30 : 32,597,029.95 = 13,122,009.10 : x
  2. Step 2: Convert to fraction form
    21,731,353.30/32,597,029.95 = 13,122,009.10/x
  3. Step 3: Cross multiply
    21,731,353.30x = 32,597,029.95 × 13,122,009.10
  4. Step 4: Simplify right side
    21,731,353.30x = 427,738,523,636,872.50
  5. Step 5: Solve for x
    x = 427,738,523,636,872.50/21,731,353.30
  6. Step 6: Final answer
    x = 19,683,013.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.