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Finding the Fourth Proportional to 17,546.55, 24,214.59 and 9,589.11

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Solution

The fourth proportional to 17,546.55, 24,214.59 and 9,589.11 is: 13,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.55 : 24,214.59 = 9,589.11 : x
  2. Step 2: Convert to fraction form
    17,546.55/24,214.59 = 9,589.11/x
  3. Step 3: Cross multiply
    17,546.55x = 24,214.59 × 9,589.11
  4. Step 4: Simplify right side
    17,546.55x = 232,196,367.11
  5. Step 5: Solve for x
    x = 232,196,367.11/17,546.55
  6. Step 6: Final answer
    x = 13,233.16

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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.