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Finding the Fourth Proportional to 22,975.59, 31,702.49 and 13,542.87

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Solution

The fourth proportional to 22,975.59, 31,702.49 and 13,542.87 is: 18,686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,975.59 : 31,702.49 = 13,542.87 : x
  2. Step 2: Convert to fraction form
    22,975.59/31,702.49 = 13,542.87/x
  3. Step 3: Cross multiply
    22,975.59x = 31,702.49 × 13,542.87
  4. Step 4: Simplify right side
    22,975.59x = 429,342,576.09
  5. Step 5: Solve for x
    x = 429,342,576.09/22,975.59
  6. Step 6: Final answer
    x = 18,686.91

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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.