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Finding the Fourth Proportional to 15,715.78, 21,687.78 and 8,642.68

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Solution

The fourth proportional to 15,715.78, 21,687.78 and 8,642.68 is: 11,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715.78 : 21,687.78 = 8,642.68 : x
  2. Step 2: Convert to fraction form
    15,715.78/21,687.78 = 8,642.68/x
  3. Step 3: Cross multiply
    15,715.78x = 21,687.78 × 8,642.68
  4. Step 4: Simplify right side
    15,715.78x = 187,440,542.45
  5. Step 5: Solve for x
    x = 187,440,542.45/15,715.78
  6. Step 6: Final answer
    x = 11,926.90

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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.