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Finding the Fourth Proportional to 13,648.40, 20,439.79 and 7,787.24

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Solution

The fourth proportional to 13,648.40, 20,439.79 and 7,787.24 is: 11,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.40 : 20,439.79 = 7,787.24 : x
  2. Step 2: Convert to fraction form
    13,648.40/20,439.79 = 7,787.24/x
  3. Step 3: Cross multiply
    13,648.40x = 20,439.79 × 7,787.24
  4. Step 4: Simplify right side
    13,648.40x = 159,169,550.28
  5. Step 5: Solve for x
    x = 159,169,550.28/13,648.40
  6. Step 6: Final answer
    x = 11,662.14

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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.