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Finding the Fourth Proportional to 12,461.81, 18,687.24 and 4,665.15

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Solution

The fourth proportional to 12,461.81, 18,687.24 and 4,665.15 is: 6,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.81 : 18,687.24 = 4,665.15 : x
  2. Step 2: Convert to fraction form
    12,461.81/18,687.24 = 4,665.15/x
  3. Step 3: Cross multiply
    12,461.81x = 18,687.24 × 4,665.15
  4. Step 4: Simplify right side
    12,461.81x = 87,178,766.02
  5. Step 5: Solve for x
    x = 87,178,766.02/12,461.81
  6. Step 6: Final answer
    x = 6,995.68

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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.