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Finding the Fourth Proportional to 17,337.90, 23,926.38 and 9,380.16

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Solution

The fourth proportional to 17,337.90, 23,926.38 and 9,380.16 is: 12,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,337.90 : 23,926.38 = 9,380.16 : x
  2. Step 2: Convert to fraction form
    17,337.90/23,926.38 = 9,380.16/x
  3. Step 3: Cross multiply
    17,337.90x = 23,926.38 × 9,380.16
  4. Step 4: Simplify right side
    17,337.90x = 224,433,272.62
  5. Step 5: Solve for x
    x = 224,433,272.62/17,337.90
  6. Step 6: Final answer
    x = 12,944.66

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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.