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Finding the Fourth Proportional to 23,142.84, 31,937.14 and 12,532.49

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Solution

The fourth proportional to 23,142.84, 31,937.14 and 12,532.49 is: 17,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.84 : 31,937.14 = 12,532.49 : x
  2. Step 2: Convert to fraction form
    23,142.84/31,937.14 = 12,532.49/x
  3. Step 3: Cross multiply
    23,142.84x = 31,937.14 × 12,532.49
  4. Step 4: Simplify right side
    23,142.84x = 400,251,887.68
  5. Step 5: Solve for x
    x = 400,251,887.68/23,142.84
  6. Step 6: Final answer
    x = 17,294.85

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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.