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Finding the Fourth Proportional to 24,855.18, 37,270.98 and 9,049.02

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Solution

The fourth proportional to 24,855.18, 37,270.98 and 9,049.02 is: 13,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,855.18 : 37,270.98 = 9,049.02 : x
  2. Step 2: Convert to fraction form
    24,855.18/37,270.98 = 9,049.02/x
  3. Step 3: Cross multiply
    24,855.18x = 37,270.98 × 9,049.02
  4. Step 4: Simplify right side
    24,855.18x = 337,265,843.44
  5. Step 5: Solve for x
    x = 337,265,843.44/24,855.18
  6. Step 6: Final answer
    x = 13,569.24

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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.