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Finding the Fourth Proportional to 18,144.18, 27,227.82 and 9,829.98

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Solution

The fourth proportional to 18,144.18, 27,227.82 and 9,829.98 is: 14,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144.18 : 27,227.82 = 9,829.98 : x
  2. Step 2: Convert to fraction form
    18,144.18/27,227.82 = 9,829.98/x
  3. Step 3: Cross multiply
    18,144.18x = 27,227.82 × 9,829.98
  4. Step 4: Simplify right side
    18,144.18x = 267,648,926.04
  5. Step 5: Solve for x
    x = 267,648,926.04/18,144.18
  6. Step 6: Final answer
    x = 14,751.23

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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.