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Finding the Fourth Proportional to 20,596.38, 28,414.87 and 13,434.63

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Solution

The fourth proportional to 20,596.38, 28,414.87 and 13,434.63 is: 18,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.38 : 28,414.87 = 13,434.63 : x
  2. Step 2: Convert to fraction form
    20,596.38/28,414.87 = 13,434.63/x
  3. Step 3: Cross multiply
    20,596.38x = 28,414.87 × 13,434.63
  4. Step 4: Simplify right side
    20,596.38x = 381,743,264.95
  5. Step 5: Solve for x
    x = 381,743,264.95/20,596.38
  6. Step 6: Final answer
    x = 18,534.48

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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.