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Finding the Fourth Proportional to 14,151.38, 19,523.92 and 8,487.96

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Solution

The fourth proportional to 14,151.38, 19,523.92 and 8,487.96 is: 11,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.38 : 19,523.92 = 8,487.96 : x
  2. Step 2: Convert to fraction form
    14,151.38/19,523.92 = 8,487.96/x
  3. Step 3: Cross multiply
    14,151.38x = 19,523.92 × 8,487.96
  4. Step 4: Simplify right side
    14,151.38x = 165,718,173.48
  5. Step 5: Solve for x
    x = 165,718,173.48/14,151.38
  6. Step 6: Final answer
    x = 11,710.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.