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Finding the Fourth Proportional to 17,575.98, 24,253.74 and 9,618.30

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Solution

The fourth proportional to 17,575.98, 24,253.74 and 9,618.30 is: 13,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,575.98 : 24,253.74 = 9,618.30 : x
  2. Step 2: Convert to fraction form
    17,575.98/24,253.74 = 9,618.30/x
  3. Step 3: Cross multiply
    17,575.98x = 24,253.74 × 9,618.30
  4. Step 4: Simplify right side
    17,575.98x = 233,279,747.44
  5. Step 5: Solve for x
    x = 233,279,747.44/17,575.98
  6. Step 6: Final answer
    x = 13,272.65

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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.