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Finding the Fourth Proportional to 39,801.20, 59,689.08 and 13,142.22

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Solution

The fourth proportional to 39,801.20, 59,689.08 and 13,142.22 is: 19,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,801.20 : 59,689.08 = 13,142.22 : x
  2. Step 2: Convert to fraction form
    39,801.20/59,689.08 = 13,142.22/x
  3. Step 3: Cross multiply
    39,801.20x = 59,689.08 × 13,142.22
  4. Step 4: Simplify right side
    39,801.20x = 784,447,020.96
  5. Step 5: Solve for x
    x = 784,447,020.96/39,801.20
  6. Step 6: Final answer
    x = 19,709.13

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