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Finding the Fourth Proportional to 18,144.64, 27,191.58 and 9,829.18

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Solution

The fourth proportional to 18,144.64, 27,191.58 and 9,829.18 is: 14,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144.64 : 27,191.58 = 9,829.18 : x
  2. Step 2: Convert to fraction form
    18,144.64/27,191.58 = 9,829.18/x
  3. Step 3: Cross multiply
    18,144.64x = 27,191.58 × 9,829.18
  4. Step 4: Simplify right side
    18,144.64x = 267,270,934.30
  5. Step 5: Solve for x
    x = 267,270,934.30/18,144.64
  6. Step 6: Final answer
    x = 14,730.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.