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Finding the Fourth Proportional to 20,655.38, 28,503.78 and 11,223.92

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Solution

The fourth proportional to 20,655.38, 28,503.78 and 11,223.92 is: 15,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,655.38 : 28,503.78 = 11,223.92 : x
  2. Step 2: Convert to fraction form
    20,655.38/28,503.78 = 11,223.92/x
  3. Step 3: Cross multiply
    20,655.38x = 28,503.78 × 11,223.92
  4. Step 4: Simplify right side
    20,655.38x = 319,924,146.42
  5. Step 5: Solve for x
    x = 319,924,146.42/20,655.38
  6. Step 6: Final answer
    x = 15,488.66

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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.