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Finding the Fourth Proportional to 20,878.38, 28,812.15 and 11,447.10

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Solution

The fourth proportional to 20,878.38, 28,812.15 and 11,447.10 is: 15,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.38 : 28,812.15 = 11,447.10 : x
  2. Step 2: Convert to fraction form
    20,878.38/28,812.15 = 11,447.10/x
  3. Step 3: Cross multiply
    20,878.38x = 28,812.15 × 11,447.10
  4. Step 4: Simplify right side
    20,878.38x = 329,815,562.27
  5. Step 5: Solve for x
    x = 329,815,562.27/20,878.38
  6. Step 6: Final answer
    x = 15,796.99

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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.