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Finding the Fourth Proportional to 20,458.17, 28,217.16 and 12,493.85

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Solution

The fourth proportional to 20,458.17, 28,217.16 and 12,493.85 is: 17,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.17 : 28,217.16 = 12,493.85 : x
  2. Step 2: Convert to fraction form
    20,458.17/28,217.16 = 12,493.85/x
  3. Step 3: Cross multiply
    20,458.17x = 28,217.16 × 12,493.85
  4. Step 4: Simplify right side
    20,458.17x = 352,540,823.38
  5. Step 5: Solve for x
    x = 352,540,823.38/20,458.17
  6. Step 6: Final answer
    x = 17,232.28

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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.