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Finding the Fourth Proportional to 12,400.49, 18,600.71 and 4,078.22

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Solution

The fourth proportional to 12,400.49, 18,600.71 and 4,078.22 is: 6,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.49 : 18,600.71 = 4,078.22 : x
  2. Step 2: Convert to fraction form
    12,400.49/18,600.71 = 4,078.22/x
  3. Step 3: Cross multiply
    12,400.49x = 18,600.71 × 4,078.22
  4. Step 4: Simplify right side
    12,400.49x = 75,857,674.14
  5. Step 5: Solve for x
    x = 75,857,674.14/12,400.49
  6. Step 6: Final answer
    x = 6,117.31

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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.