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Finding the Fourth Proportional to 21,423.78, 32,101.11 and 13,198.50

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Solution

The fourth proportional to 21,423.78, 32,101.11 and 13,198.50 is: 19,776.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.78 : 32,101.11 = 13,198.50 : x
  2. Step 2: Convert to fraction form
    21,423.78/32,101.11 = 13,198.50/x
  3. Step 3: Cross multiply
    21,423.78x = 32,101.11 × 13,198.50
  4. Step 4: Simplify right side
    21,423.78x = 423,686,500.34
  5. Step 5: Solve for x
    x = 423,686,500.34/21,423.78
  6. Step 6: Final answer
    x = 19,776.46

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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.