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Finding the Fourth Proportional to 12,400.80, 18,605.76 and 5,740.50

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Solution

The fourth proportional to 12,400.80, 18,605.76 and 5,740.50 is: 8,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.80 : 18,605.76 = 5,740.50 : x
  2. Step 2: Convert to fraction form
    12,400.80/18,605.76 = 5,740.50/x
  3. Step 3: Cross multiply
    12,400.80x = 18,605.76 × 5,740.50
  4. Step 4: Simplify right side
    12,400.80x = 106,806,365.28
  5. Step 5: Solve for x
    x = 106,806,365.28/12,400.80
  6. Step 6: Final answer
    x = 8,612.86

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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.