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Finding the Fourth Proportional to 15,732.09, 21,710.43 and 8,658.54

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Solution

The fourth proportional to 15,732.09, 21,710.43 and 8,658.54 is: 11,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.09 : 21,710.43 = 8,658.54 : x
  2. Step 2: Convert to fraction form
    15,732.09/21,710.43 = 8,658.54/x
  3. Step 3: Cross multiply
    15,732.09x = 21,710.43 × 8,658.54
  4. Step 4: Simplify right side
    15,732.09x = 187,980,626.57
  5. Step 5: Solve for x
    x = 187,980,626.57/15,732.09
  6. Step 6: Final answer
    x = 11,948.87

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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.