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Finding the Fourth Proportional to 17,547.14, 24,214.64 and 9,589.41

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Solution

The fourth proportional to 17,547.14, 24,214.64 and 9,589.41 is: 13,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.14 : 24,214.64 = 9,589.41 : x
  2. Step 2: Convert to fraction form
    17,547.14/24,214.64 = 9,589.41/x
  3. Step 3: Cross multiply
    17,547.14x = 24,214.64 × 9,589.41
  4. Step 4: Simplify right side
    17,547.14x = 232,204,063.02
  5. Step 5: Solve for x
    x = 232,204,063.02/17,547.14
  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.