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Finding the Fourth Proportional to 17,549.36, 24,216.81 and 9,589.88

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Solution

The fourth proportional to 17,549.36, 24,216.81 and 9,589.88 is: 13,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,549.36 : 24,216.81 = 9,589.88 : x
  2. Step 2: Convert to fraction form
    17,549.36/24,216.81 = 9,589.88/x
  3. Step 3: Cross multiply
    17,549.36x = 24,216.81 × 9,589.88
  4. Step 4: Simplify right side
    17,549.36x = 232,236,301.88
  5. Step 5: Solve for x
    x = 232,236,301.88/17,549.36
  6. Step 6: Final answer
    x = 13,233.32

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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.