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Finding the Fourth Proportional to 17,534.87, 24,197.74 and 9,577.13

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Solution

The fourth proportional to 17,534.87, 24,197.74 and 9,577.13 is: 13,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.87 : 24,197.74 = 9,577.13 : x
  2. Step 2: Convert to fraction form
    17,534.87/24,197.74 = 9,577.13/x
  3. Step 3: Cross multiply
    17,534.87x = 24,197.74 × 9,577.13
  4. Step 4: Simplify right side
    17,534.87x = 231,744,756.75
  5. Step 5: Solve for x
    x = 231,744,756.75/17,534.87
  6. Step 6: Final answer
    x = 13,216.23

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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.