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Finding the Fourth Proportional to 12,586.50, 18,881.91 and 3,822.30

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Solution

The fourth proportional to 12,586.50, 18,881.91 and 3,822.30 is: 5,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.50 : 18,881.91 = 3,822.30 : x
  2. Step 2: Convert to fraction form
    12,586.50/18,881.91 = 3,822.30/x
  3. Step 3: Cross multiply
    12,586.50x = 18,881.91 × 3,822.30
  4. Step 4: Simplify right side
    12,586.50x = 72,172,324.59
  5. Step 5: Solve for x
    x = 72,172,324.59/12,586.50
  6. Step 6: Final answer
    x = 5,734.11

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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.