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Finding the Fourth Proportional to 17,656.86, 24,377.17 and 11,693.64

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Solution

The fourth proportional to 17,656.86, 24,377.17 and 11,693.64 is: 16,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.86 : 24,377.17 = 11,693.64 : x
  2. Step 2: Convert to fraction form
    17,656.86/24,377.17 = 11,693.64/x
  3. Step 3: Cross multiply
    17,656.86x = 24,377.17 × 11,693.64
  4. Step 4: Simplify right side
    17,656.86x = 285,057,850.20
  5. Step 5: Solve for x
    x = 285,057,850.20/17,656.86
  6. Step 6: Final answer
    x = 16,144.31

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1.5x scale

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.