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Finding the Fourth Proportional to 39,709.48, 59,564.46 and 13,414.36

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Solution

The fourth proportional to 39,709.48, 59,564.46 and 13,414.36 is: 20,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,709.48 : 59,564.46 = 13,414.36 : x
  2. Step 2: Convert to fraction form
    39,709.48/59,564.46 = 13,414.36/x
  3. Step 3: Cross multiply
    39,709.48x = 59,564.46 × 13,414.36
  4. Step 4: Simplify right side
    39,709.48x = 799,019,109.65
  5. Step 5: Solve for x
    x = 799,019,109.65/39,709.48
  6. Step 6: Final answer
    x = 20,121.62

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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.