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Finding the Fourth Proportional to 17,597.75, 24,286.92 and 10,045.16

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Solution

The fourth proportional to 17,597.75, 24,286.92 and 10,045.16 is: 13,863.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,597.75 : 24,286.92 = 10,045.16 : x
  2. Step 2: Convert to fraction form
    17,597.75/24,286.92 = 10,045.16/x
  3. Step 3: Cross multiply
    17,597.75x = 24,286.92 × 10,045.16
  4. Step 4: Simplify right side
    17,597.75x = 243,965,997.31
  5. Step 5: Solve for x
    x = 243,965,997.31/17,597.75
  6. Step 6: Final answer
    x = 13,863.48

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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.