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Finding the Fourth Proportional to 12,809.60, 19,219.80 and 6,232.40

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Solution

The fourth proportional to 12,809.60, 19,219.80 and 6,232.40 is: 9,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.60 : 19,219.80 = 6,232.40 : x
  2. Step 2: Convert to fraction form
    12,809.60/19,219.80 = 6,232.40/x
  3. Step 3: Cross multiply
    12,809.60x = 19,219.80 × 6,232.40
  4. Step 4: Simplify right side
    12,809.60x = 119,785,481.52
  5. Step 5: Solve for x
    x = 119,785,481.52/12,809.60
  6. Step 6: Final answer
    x = 9,351.23

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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.