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Finding the Fourth Proportional to 20,869.38, 28,800 and 11,437.92

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Solution

The fourth proportional to 20,869.38, 28,800 and 11,437.92 is: 15,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,869.38 : 28,800 = 11,437.92 : x
  2. Step 2: Convert to fraction form
    20,869.38/28,800 = 11,437.92/x
  3. Step 3: Cross multiply
    20,869.38x = 28,800 × 11,437.92
  4. Step 4: Simplify right side
    20,869.38x = 329,412,096
  5. Step 5: Solve for x
    x = 329,412,096/20,869.38
  6. Step 6: Final answer
    x = 15,784.47

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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.