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Finding the Fourth Proportional to 12,282.20, 18,423.30 and 5,706.20

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Solution

The fourth proportional to 12,282.20, 18,423.30 and 5,706.20 is: 8,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.20 : 18,423.30 = 5,706.20 : x
  2. Step 2: Convert to fraction form
    12,282.20/18,423.30 = 5,706.20/x
  3. Step 3: Cross multiply
    12,282.20x = 18,423.30 × 5,706.20
  4. Step 4: Simplify right side
    12,282.20x = 105,127,034.46
  5. Step 5: Solve for x
    x = 105,127,034.46/12,282.20
  6. Step 6: Final answer
    x = 8,559.30

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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.