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Finding the Fourth Proportional to 15,731.96, 21,710.54 and 8,658.82

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Solution

The fourth proportional to 15,731.96, 21,710.54 and 8,658.82 is: 11,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731.96 : 21,710.54 = 8,658.82 : x
  2. Step 2: Convert to fraction form
    15,731.96/21,710.54 = 8,658.82/x
  3. Step 3: Cross multiply
    15,731.96x = 21,710.54 × 8,658.82
  4. Step 4: Simplify right side
    15,731.96x = 187,987,657.96
  5. Step 5: Solve for x
    x = 187,987,657.96/15,731.96
  6. Step 6: Final answer
    x = 11,949.41

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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.