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Finding the Fourth Proportional to 17,500.84, 24,151.30 and 9,543

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Solution

The fourth proportional to 17,500.84, 24,151.30 and 9,543 is: 13,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,500.84 : 24,151.30 = 9,543 : x
  2. Step 2: Convert to fraction form
    17,500.84/24,151.30 = 9,543/x
  3. Step 3: Cross multiply
    17,500.84x = 24,151.30 × 9,543
  4. Step 4: Simplify right side
    17,500.84x = 230,475,855.90
  5. Step 5: Solve for x
    x = 230,475,855.90/17,500.84
  6. Step 6: Final answer
    x = 13,169.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.