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Finding the Fourth Proportional to 20,493.50, 28,278.68 and 11,540.77

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Solution

The fourth proportional to 20,493.50, 28,278.68 and 11,540.77 is: 15,924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.50 : 28,278.68 = 11,540.77 : x
  2. Step 2: Convert to fraction form
    20,493.50/28,278.68 = 11,540.77/x
  3. Step 3: Cross multiply
    20,493.50x = 28,278.68 × 11,540.77
  4. Step 4: Simplify right side
    20,493.50x = 326,357,613.38
  5. Step 5: Solve for x
    x = 326,357,613.38/20,493.50
  6. Step 6: Final answer
    x = 15,924.94

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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.