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Finding the Fourth Proportional to 12,471.20, 18,708.60 and 4,151.60

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Solution

The fourth proportional to 12,471.20, 18,708.60 and 4,151.60 is: 6,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.20 : 18,708.60 = 4,151.60 : x
  2. Step 2: Convert to fraction form
    12,471.20/18,708.60 = 4,151.60/x
  3. Step 3: Cross multiply
    12,471.20x = 18,708.60 × 4,151.60
  4. Step 4: Simplify right side
    12,471.20x = 77,670,623.76
  5. Step 5: Solve for x
    x = 77,670,623.76/12,471.20
  6. Step 6: Final answer
    x = 6,228.00

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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.