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Finding the Fourth Proportional to 23,141.40, 31,935.18 and 12,531

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Solution

The fourth proportional to 23,141.40, 31,935.18 and 12,531 is: 17,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.40 : 31,935.18 = 12,531 : x
  2. Step 2: Convert to fraction form
    23,141.40/31,935.18 = 12,531/x
  3. Step 3: Cross multiply
    23,141.40x = 31,935.18 × 12,531
  4. Step 4: Simplify right side
    23,141.40x = 400,179,740.58
  5. Step 5: Solve for x
    x = 400,179,740.58/23,141.40
  6. Step 6: Final answer
    x = 17,292.81

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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.