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Finding the Fourth Proportional to 15,717.84, 21,691.08 and 8,644.71

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Solution

The fourth proportional to 15,717.84, 21,691.08 and 8,644.71 is: 11,929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717.84 : 21,691.08 = 8,644.71 : x
  2. Step 2: Convert to fraction form
    15,717.84/21,691.08 = 8,644.71/x
  3. Step 3: Cross multiply
    15,717.84x = 21,691.08 × 8,644.71
  4. Step 4: Simplify right side
    15,717.84x = 187,513,096.19
  5. Step 5: Solve for x
    x = 187,513,096.19/15,717.84
  6. Step 6: Final answer
    x = 11,929.95

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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.