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Finding the Fourth Proportional to 14,500.38, 20,020.16 and 11,137.17

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Solution

The fourth proportional to 14,500.38, 20,020.16 and 11,137.17 is: 15,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.38 : 20,020.16 = 11,137.17 : x
  2. Step 2: Convert to fraction form
    14,500.38/20,020.16 = 11,137.17/x
  3. Step 3: Cross multiply
    14,500.38x = 20,020.16 × 11,137.17
  4. Step 4: Simplify right side
    14,500.38x = 222,967,869.66
  5. Step 5: Solve for x
    x = 222,967,869.66/14,500.38
  6. Step 6: Final answer
    x = 15,376.69

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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.