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Finding the Fourth Proportional to 23,590.38, 32,520.51 and 16,494.78

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Solution

The fourth proportional to 23,590.38, 32,520.51 and 16,494.78 is: 22,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,590.38 : 32,520.51 = 16,494.78 : x
  2. Step 2: Convert to fraction form
    23,590.38/32,520.51 = 16,494.78/x
  3. Step 3: Cross multiply
    23,590.38x = 32,520.51 × 16,494.78
  4. Step 4: Simplify right side
    23,590.38x = 536,418,657.94
  5. Step 5: Solve for x
    x = 536,418,657.94/23,590.38
  6. Step 6: Final answer
    x = 22,738.87

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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.