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Finding the Fourth Proportional to 17,546.64, 24,214.68 and 9,589.20

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Solution

The fourth proportional to 17,546.64, 24,214.68 and 9,589.20 is: 13,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.64 : 24,214.68 = 9,589.20 : x
  2. Step 2: Convert to fraction form
    17,546.64/24,214.68 = 9,589.20/x
  3. Step 3: Cross multiply
    17,546.64x = 24,214.68 × 9,589.20
  4. Step 4: Simplify right side
    17,546.64x = 232,199,409.46
  5. Step 5: Solve for x
    x = 232,199,409.46/17,546.64
  6. Step 6: Final answer
    x = 13,233.27

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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.