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Finding the Fourth Proportional to 39,674, 59,513.40 and 11,972.24

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Solution

The fourth proportional to 39,674, 59,513.40 and 11,972.24 is: 17,959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,674 : 59,513.40 = 11,972.24 : x
  2. Step 2: Convert to fraction form
    39,674/59,513.40 = 11,972.24/x
  3. Step 3: Cross multiply
    39,674x = 59,513.40 × 11,972.24
  4. Step 4: Simplify right side
    39,674x = 712,508,708.02
  5. Step 5: Solve for x
    x = 712,508,708.02/39,674
  6. Step 6: Final answer
    x = 17,959.08

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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.