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Finding the Fourth Proportional to 17,824.20, 24,597.61 and 9,867.16

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Solution

The fourth proportional to 17,824.20, 24,597.61 and 9,867.16 is: 13,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.20 : 24,597.61 = 9,867.16 : x
  2. Step 2: Convert to fraction form
    17,824.20/24,597.61 = 9,867.16/x
  3. Step 3: Cross multiply
    17,824.20x = 24,597.61 × 9,867.16
  4. Step 4: Simplify right side
    17,824.20x = 242,708,553.49
  5. Step 5: Solve for x
    x = 242,708,553.49/17,824.20
  6. Step 6: Final answer
    x = 13,616.80

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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.