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Finding the Fourth Proportional to 12,386.43, 18,585.09 and 5,812.05

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Solution

The fourth proportional to 12,386.43, 18,585.09 and 5,812.05 is: 8,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.43 : 18,585.09 = 5,812.05 : x
  2. Step 2: Convert to fraction form
    12,386.43/18,585.09 = 5,812.05/x
  3. Step 3: Cross multiply
    12,386.43x = 18,585.09 × 5,812.05
  4. Step 4: Simplify right side
    12,386.43x = 108,017,472.33
  5. Step 5: Solve for x
    x = 108,017,472.33/12,386.43
  6. Step 6: Final answer
    x = 8,720.63

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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.