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Finding the Fourth Proportional to 17,535.50, 24,198.99 and 9,577.74

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Solution

The fourth proportional to 17,535.50, 24,198.99 and 9,577.74 is: 13,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.50 : 24,198.99 = 9,577.74 : x
  2. Step 2: Convert to fraction form
    17,535.50/24,198.99 = 9,577.74/x
  3. Step 3: Cross multiply
    17,535.50x = 24,198.99 × 9,577.74
  4. Step 4: Simplify right side
    17,535.50x = 231,771,689.31
  5. Step 5: Solve for x
    x = 231,771,689.31/17,535.50
  6. Step 6: Final answer
    x = 13,217.29

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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.