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Finding the Fourth Proportional to 17,537.10, 24,200.53 and 9,578.85

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Solution

The fourth proportional to 17,537.10, 24,200.53 and 9,578.85 is: 13,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.10 : 24,200.53 = 9,578.85 : x
  2. Step 2: Convert to fraction form
    17,537.10/24,200.53 = 9,578.85/x
  3. Step 3: Cross multiply
    17,537.10x = 24,200.53 × 9,578.85
  4. Step 4: Simplify right side
    17,537.10x = 231,813,246.79
  5. Step 5: Solve for x
    x = 231,813,246.79/17,537.10
  6. Step 6: Final answer
    x = 13,218.45

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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.