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Finding the Fourth Proportional to 17,633.38, 24,335.16 and 9,675.62

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Solution

The fourth proportional to 17,633.38, 24,335.16 and 9,675.62 is: 13,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.38 : 24,335.16 = 9,675.62 : x
  2. Step 2: Convert to fraction form
    17,633.38/24,335.16 = 9,675.62/x
  3. Step 3: Cross multiply
    17,633.38x = 24,335.16 × 9,675.62
  4. Step 4: Simplify right side
    17,633.38x = 235,457,760.80
  5. Step 5: Solve for x
    x = 235,457,760.80/17,633.38
  6. Step 6: Final answer
    x = 13,352.96

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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.