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Finding the Fourth Proportional to 17,549.14, 24,218.14 and 9,591.70

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Solution

The fourth proportional to 17,549.14, 24,218.14 and 9,591.70 is: 13,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,549.14 : 24,218.14 = 9,591.70 : x
  2. Step 2: Convert to fraction form
    17,549.14/24,218.14 = 9,591.70/x
  3. Step 3: Cross multiply
    17,549.14x = 24,218.14 × 9,591.70
  4. Step 4: Simplify right side
    17,549.14x = 232,293,133.44
  5. Step 5: Solve for x
    x = 232,293,133.44/17,549.14
  6. Step 6: Final answer
    x = 13,236.72

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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.