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Finding the Fourth Proportional to 17,884.62, 24,680.26 and 9,818.26

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Solution

The fourth proportional to 17,884.62, 24,680.26 and 9,818.26 is: 13,548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.62 : 24,680.26 = 9,818.26 : x
  2. Step 2: Convert to fraction form
    17,884.62/24,680.26 = 9,818.26/x
  3. Step 3: Cross multiply
    17,884.62x = 24,680.26 × 9,818.26
  4. Step 4: Simplify right side
    17,884.62x = 242,317,209.55
  5. Step 5: Solve for x
    x = 242,317,209.55/17,884.62
  6. Step 6: Final answer
    x = 13,548.92

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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.