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Finding the Fourth Proportional to 17,654.46, 26,480.32 and 8,296.53

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Solution

The fourth proportional to 17,654.46, 26,480.32 and 8,296.53 is: 12,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.46 : 26,480.32 = 8,296.53 : x
  2. Step 2: Convert to fraction form
    17,654.46/26,480.32 = 8,296.53/x
  3. Step 3: Cross multiply
    17,654.46x = 26,480.32 × 8,296.53
  4. Step 4: Simplify right side
    17,654.46x = 219,694,649.25
  5. Step 5: Solve for x
    x = 219,694,649.25/17,654.46
  6. Step 6: Final answer
    x = 12,444.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.