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Finding the Fourth Proportional to 22,237.30, 33,353.07 and 8,384.50

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Solution

The fourth proportional to 22,237.30, 33,353.07 and 8,384.50 is: 12,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,237.30 : 33,353.07 = 8,384.50 : x
  2. Step 2: Convert to fraction form
    22,237.30/33,353.07 = 8,384.50/x
  3. Step 3: Cross multiply
    22,237.30x = 33,353.07 × 8,384.50
  4. Step 4: Simplify right side
    22,237.30x = 279,648,815.42
  5. Step 5: Solve for x
    x = 279,648,815.42/22,237.30
  6. Step 6: Final answer
    x = 12,575.66

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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.