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Finding the Fourth Proportional to 17,547.80, 24,215.84 and 9,589.86

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Solution

The fourth proportional to 17,547.80, 24,215.84 and 9,589.86 is: 13,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.80 : 24,215.84 = 9,589.86 : x
  2. Step 2: Convert to fraction form
    17,547.80/24,215.84 = 9,589.86/x
  3. Step 3: Cross multiply
    17,547.80x = 24,215.84 × 9,589.86
  4. Step 4: Simplify right side
    17,547.80x = 232,226,515.38
  5. Step 5: Solve for x
    x = 232,226,515.38/17,547.80
  6. Step 6: Final answer
    x = 13,233.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.