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Finding the Fourth Proportional to 15,712.68, 21,684.66 and 8,639.28

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Solution

The fourth proportional to 15,712.68, 21,684.66 and 8,639.28 is: 11,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.68 : 21,684.66 = 8,639.28 : x
  2. Step 2: Convert to fraction form
    15,712.68/21,684.66 = 8,639.28/x
  3. Step 3: Cross multiply
    15,712.68x = 21,684.66 × 8,639.28
  4. Step 4: Simplify right side
    15,712.68x = 187,339,849.44
  5. Step 5: Solve for x
    x = 187,339,849.44/15,712.68
  6. Step 6: Final answer
    x = 11,922.85

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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.