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Finding the Fourth Proportional to 17,535.90, 24,200.10 and 9,578.86

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Solution

The fourth proportional to 17,535.90, 24,200.10 and 9,578.86 is: 13,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.90 : 24,200.10 = 9,578.86 : x
  2. Step 2: Convert to fraction form
    17,535.90/24,200.10 = 9,578.86/x
  3. Step 3: Cross multiply
    17,535.90x = 24,200.10 × 9,578.86
  4. Step 4: Simplify right side
    17,535.90x = 231,809,369.89
  5. Step 5: Solve for x
    x = 231,809,369.89/17,535.90
  6. Step 6: Final answer
    x = 13,219.13

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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.