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Finding the Fourth Proportional to 23,152.97, 31,951.04 and 12,542.78

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Solution

The fourth proportional to 23,152.97, 31,951.04 and 12,542.78 is: 17,309.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.97 : 31,951.04 = 12,542.78 : x
  2. Step 2: Convert to fraction form
    23,152.97/31,951.04 = 12,542.78/x
  3. Step 3: Cross multiply
    23,152.97x = 31,951.04 × 12,542.78
  4. Step 4: Simplify right side
    23,152.97x = 400,754,643.02
  5. Step 5: Solve for x
    x = 400,754,643.02/23,152.97
  6. Step 6: Final answer
    x = 17,309.00

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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.