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Finding the Fourth Proportional to 20,498.38, 28,288.19 and 12,432

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Solution

The fourth proportional to 20,498.38, 28,288.19 and 12,432 is: 17,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.38 : 28,288.19 = 12,432 : x
  2. Step 2: Convert to fraction form
    20,498.38/28,288.19 = 12,432/x
  3. Step 3: Cross multiply
    20,498.38x = 28,288.19 × 12,432
  4. Step 4: Simplify right side
    20,498.38x = 351,678,778.08
  5. Step 5: Solve for x
    x = 351,678,778.08/20,498.38
  6. Step 6: Final answer
    x = 17,156.42

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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.