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Finding the Fourth Proportional to 12,282.10, 18,423.15 and 7,033.30

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Solution

The fourth proportional to 12,282.10, 18,423.15 and 7,033.30 is: 10,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.10 : 18,423.15 = 7,033.30 : x
  2. Step 2: Convert to fraction form
    12,282.10/18,423.15 = 7,033.30/x
  3. Step 3: Cross multiply
    12,282.10x = 18,423.15 × 7,033.30
  4. Step 4: Simplify right side
    12,282.10x = 129,575,540.90
  5. Step 5: Solve for x
    x = 129,575,540.90/12,282.10
  6. Step 6: Final answer
    x = 10,549.95

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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.