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Finding the Fourth Proportional to 17,649.50, 24,356.46 and 9,691.52

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Solution

The fourth proportional to 17,649.50, 24,356.46 and 9,691.52 is: 13,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.50 : 24,356.46 = 9,691.52 : x
  2. Step 2: Convert to fraction form
    17,649.50/24,356.46 = 9,691.52/x
  3. Step 3: Cross multiply
    17,649.50x = 24,356.46 × 9,691.52
  4. Step 4: Simplify right side
    17,649.50x = 236,051,119.22
  5. Step 5: Solve for x
    x = 236,051,119.22/17,649.50
  6. Step 6: Final answer
    x = 13,374.38

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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.