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Finding the Fourth Proportional to 12,334.20, 18,503.70 and 5,314.20

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Solution

The fourth proportional to 12,334.20, 18,503.70 and 5,314.20 is: 7,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.20 : 18,503.70 = 5,314.20 : x
  2. Step 2: Convert to fraction form
    12,334.20/18,503.70 = 5,314.20/x
  3. Step 3: Cross multiply
    12,334.20x = 18,503.70 × 5,314.20
  4. Step 4: Simplify right side
    12,334.20x = 98,332,362.54
  5. Step 5: Solve for x
    x = 98,332,362.54/12,334.20
  6. Step 6: Final answer
    x = 7,972.33

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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.