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Finding the Fourth Proportional to 15,732.16, 21,710.10 and 8,658.52

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Solution

The fourth proportional to 15,732.16, 21,710.10 and 8,658.52 is: 11,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.16 : 21,710.10 = 8,658.52 : x
  2. Step 2: Convert to fraction form
    15,732.16/21,710.10 = 8,658.52/x
  3. Step 3: Cross multiply
    15,732.16x = 21,710.10 × 8,658.52
  4. Step 4: Simplify right side
    15,732.16x = 187,977,335.05
  5. Step 5: Solve for x
    x = 187,977,335.05/15,732.16
  6. Step 6: Final answer
    x = 11,948.60

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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.