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Finding the Fourth Proportional to 23,152.52, 31,950.57 and 12,542.15

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Solution

The fourth proportional to 23,152.52, 31,950.57 and 12,542.15 is: 17,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.52 : 31,950.57 = 12,542.15 : x
  2. Step 2: Convert to fraction form
    23,152.52/31,950.57 = 12,542.15/x
  3. Step 3: Cross multiply
    23,152.52x = 31,950.57 × 12,542.15
  4. Step 4: Simplify right side
    23,152.52x = 400,728,718.16
  5. Step 5: Solve for x
    x = 400,728,718.16/23,152.52
  6. Step 6: Final answer
    x = 17,308.22

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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.