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Finding the Fourth Proportional to 17,547.52, 24,216.16 and 9,589.54

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Solution

The fourth proportional to 17,547.52, 24,216.16 and 9,589.54 is: 13,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.52 : 24,216.16 = 9,589.54 : x
  2. Step 2: Convert to fraction form
    17,547.52/24,216.16 = 9,589.54/x
  3. Step 3: Cross multiply
    17,547.52x = 24,216.16 × 9,589.54
  4. Step 4: Simplify right side
    17,547.52x = 232,221,834.97
  5. Step 5: Solve for x
    x = 232,221,834.97/17,547.52
  6. Step 6: Final answer
    x = 13,233.88

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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.