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Finding the Fourth Proportional to 17,599.38, 24,287.75 and 9,641.60

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Solution

The fourth proportional to 17,599.38, 24,287.75 and 9,641.60 is: 13,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,599.38 : 24,287.75 = 9,641.60 : x
  2. Step 2: Convert to fraction form
    17,599.38/24,287.75 = 9,641.60/x
  3. Step 3: Cross multiply
    17,599.38x = 24,287.75 × 9,641.60
  4. Step 4: Simplify right side
    17,599.38x = 234,172,770.40
  5. Step 5: Solve for x
    x = 234,172,770.40/17,599.38
  6. Step 6: Final answer
    x = 13,305.74

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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.