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Finding the Fourth Proportional to 15,731.72, 21,709.73 and 8,658.14

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Solution

The fourth proportional to 15,731.72, 21,709.73 and 8,658.14 is: 11,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731.72 : 21,709.73 = 8,658.14 : x
  2. Step 2: Convert to fraction form
    15,731.72/21,709.73 = 8,658.14/x
  3. Step 3: Cross multiply
    15,731.72x = 21,709.73 × 8,658.14
  4. Step 4: Simplify right side
    15,731.72x = 187,965,881.70
  5. Step 5: Solve for x
    x = 187,965,881.70/15,731.72
  6. Step 6: Final answer
    x = 11,948.21

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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.