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Finding the Fourth Proportional to 12,400.92, 18,585.55 and 5,812.59

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Solution

The fourth proportional to 12,400.92, 18,585.55 and 5,812.59 is: 8,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.92 : 18,585.55 = 5,812.59 : x
  2. Step 2: Convert to fraction form
    12,400.92/18,585.55 = 5,812.59/x
  3. Step 3: Cross multiply
    12,400.92x = 18,585.55 × 5,812.59
  4. Step 4: Simplify right side
    12,400.92x = 108,030,182.07
  5. Step 5: Solve for x
    x = 108,030,182.07/12,400.92
  6. Step 6: Final answer
    x = 8,711.47

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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.