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Finding the Fourth Proportional to 12,949.20, 17,858.16 and 8,471.52

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Solution

The fourth proportional to 12,949.20, 17,858.16 and 8,471.52 is: 11,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,949.20 : 17,858.16 = 8,471.52 : x
  2. Step 2: Convert to fraction form
    12,949.20/17,858.16 = 8,471.52/x
  3. Step 3: Cross multiply
    12,949.20x = 17,858.16 × 8,471.52
  4. Step 4: Simplify right side
    12,949.20x = 151,285,759.60
  5. Step 5: Solve for x
    x = 151,285,759.60/12,949.20
  6. Step 6: Final answer
    x = 11,683.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.