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Finding the Fourth Proportional to 20,665.80, 28,517.40 and 11,234.16

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Solution

The fourth proportional to 20,665.80, 28,517.40 and 11,234.16 is: 15,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.80 : 28,517.40 = 11,234.16 : x
  2. Step 2: Convert to fraction form
    20,665.80/28,517.40 = 11,234.16/x
  3. Step 3: Cross multiply
    20,665.80x = 28,517.40 × 11,234.16
  4. Step 4: Simplify right side
    20,665.80x = 320,369,034.38
  5. Step 5: Solve for x
    x = 320,369,034.38/20,665.80
  6. Step 6: Final answer
    x = 15,502.38

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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.