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Finding the Fourth Proportional to 12,586.38, 18,883.68 and 3,821.30

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Solution

The fourth proportional to 12,586.38, 18,883.68 and 3,821.30 is: 5,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.38 : 18,883.68 = 3,821.30 : x
  2. Step 2: Convert to fraction form
    12,586.38/18,883.68 = 3,821.30/x
  3. Step 3: Cross multiply
    12,586.38x = 18,883.68 × 3,821.30
  4. Step 4: Simplify right side
    12,586.38x = 72,160,206.38
  5. Step 5: Solve for x
    x = 72,160,206.38/12,586.38
  6. Step 6: Final answer
    x = 5,733.20

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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.