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Finding the Fourth Proportional to 17,547.20, 24,215.24 and 9,589.64

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Solution

The fourth proportional to 17,547.20, 24,215.24 and 9,589.64 is: 13,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.20 : 24,215.24 = 9,589.64 : x
  2. Step 2: Convert to fraction form
    17,547.20/24,215.24 = 9,589.64/x
  3. Step 3: Cross multiply
    17,547.20x = 24,215.24 × 9,589.64
  4. Step 4: Simplify right side
    17,547.20x = 232,215,434.11
  5. Step 5: Solve for x
    x = 232,215,434.11/17,547.20
  6. Step 6: Final answer
    x = 13,233.76

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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.