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Finding the Fourth Proportional to 20,424.38, 28,188.54 and 11,472.48

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Solution

The fourth proportional to 20,424.38, 28,188.54 and 11,472.48 is: 15,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,424.38 : 28,188.54 = 11,472.48 : x
  2. Step 2: Convert to fraction form
    20,424.38/28,188.54 = 11,472.48/x
  3. Step 3: Cross multiply
    20,424.38x = 28,188.54 × 11,472.48
  4. Step 4: Simplify right side
    20,424.38x = 323,392,461.38
  5. Step 5: Solve for x
    x = 323,392,461.38/20,424.38
  6. Step 6: Final answer
    x = 15,833.65

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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.