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Finding the Fourth Proportional to 17,500.86, 24,151.77 and 9,543.52

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Solution

The fourth proportional to 17,500.86, 24,151.77 and 9,543.52 is: 13,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,500.86 : 24,151.77 = 9,543.52 : x
  2. Step 2: Convert to fraction form
    17,500.86/24,151.77 = 9,543.52/x
  3. Step 3: Cross multiply
    17,500.86x = 24,151.77 × 9,543.52
  4. Step 4: Simplify right side
    17,500.86x = 230,492,930.22
  5. Step 5: Solve for x
    x = 230,492,930.22/17,500.86
  6. Step 6: Final answer
    x = 13,170.38

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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.