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Finding the Fourth Proportional to 17,909.86, 24,715.63 and 9,951.90

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Solution

The fourth proportional to 17,909.86, 24,715.63 and 9,951.90 is: 13,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,909.86 : 24,715.63 = 9,951.90 : x
  2. Step 2: Convert to fraction form
    17,909.86/24,715.63 = 9,951.90/x
  3. Step 3: Cross multiply
    17,909.86x = 24,715.63 × 9,951.90
  4. Step 4: Simplify right side
    17,909.86x = 245,967,478.20
  5. Step 5: Solve for x
    x = 245,967,478.20/17,909.86
  6. Step 6: Final answer
    x = 13,733.63

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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.