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Finding the Fourth Proportional to 17,547.76, 24,215.82 and 9,589.98

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Solution

The fourth proportional to 17,547.76, 24,215.82 and 9,589.98 is: 13,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.76 : 24,215.82 = 9,589.98 : x
  2. Step 2: Convert to fraction form
    17,547.76/24,215.82 = 9,589.98/x
  3. Step 3: Cross multiply
    17,547.76x = 24,215.82 × 9,589.98
  4. Step 4: Simplify right side
    17,547.76x = 232,229,229.48
  5. Step 5: Solve for x
    x = 232,229,229.48/17,547.76
  6. Step 6: Final answer
    x = 13,234.12

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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.