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Finding the Fourth Proportional to 12,711.72, 17,542.32 and 7,123.08

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Solution

The fourth proportional to 12,711.72, 17,542.32 and 7,123.08 is: 9,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.72 : 17,542.32 = 7,123.08 : x
  2. Step 2: Convert to fraction form
    12,711.72/17,542.32 = 7,123.08/x
  3. Step 3: Cross multiply
    12,711.72x = 17,542.32 × 7,123.08
  4. Step 4: Simplify right side
    12,711.72x = 124,955,348.75
  5. Step 5: Solve for x
    x = 124,955,348.75/12,711.72
  6. Step 6: Final answer
    x = 9,829.93

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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.