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Finding the Fourth Proportional to 17,655.90, 24,366.42 and 11,677.20

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Solution

The fourth proportional to 17,655.90, 24,366.42 and 11,677.20 is: 16,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.90 : 24,366.42 = 11,677.20 : x
  2. Step 2: Convert to fraction form
    17,655.90/24,366.42 = 11,677.20/x
  3. Step 3: Cross multiply
    17,655.90x = 24,366.42 × 11,677.20
  4. Step 4: Simplify right side
    17,655.90x = 284,531,559.62
  5. Step 5: Solve for x
    x = 284,531,559.62/17,655.90
  6. Step 6: Final answer
    x = 16,115.38

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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.