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Finding the Fourth Proportional to 23,901.39, 32,984.71 and 13,146.71

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Solution

The fourth proportional to 23,901.39, 32,984.71 and 13,146.71 is: 18,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,901.39 : 32,984.71 = 13,146.71 : x
  2. Step 2: Convert to fraction form
    23,901.39/32,984.71 = 13,146.71/x
  3. Step 3: Cross multiply
    23,901.39x = 32,984.71 × 13,146.71
  4. Step 4: Simplify right side
    23,901.39x = 433,640,532.13
  5. Step 5: Solve for x
    x = 433,640,532.13/23,901.39
  6. Step 6: Final answer
    x = 18,142.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.