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Finding the Fourth Proportional to 20,807.38, 28,712.21 and 11,854.65

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Solution

The fourth proportional to 20,807.38, 28,712.21 and 11,854.65 is: 16,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.38 : 28,712.21 = 11,854.65 : x
  2. Step 2: Convert to fraction form
    20,807.38/28,712.21 = 11,854.65/x
  3. Step 3: Cross multiply
    20,807.38x = 28,712.21 × 11,854.65
  4. Step 4: Simplify right side
    20,807.38x = 340,373,248.67
  5. Step 5: Solve for x
    x = 340,373,248.67/20,807.38
  6. Step 6: Final answer
    x = 16,358.29

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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.