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Finding the Fourth Proportional to 13,787.64, 19,020.72 and 8,119.44

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Solution

The fourth proportional to 13,787.64, 19,020.72 and 8,119.44 is: 11,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.64 : 19,020.72 = 8,119.44 : x
  2. Step 2: Convert to fraction form
    13,787.64/19,020.72 = 8,119.44/x
  3. Step 3: Cross multiply
    13,787.64x = 19,020.72 × 8,119.44
  4. Step 4: Simplify right side
    13,787.64x = 154,437,594.80
  5. Step 5: Solve for x
    x = 154,437,594.80/13,787.64
  6. Step 6: Final answer
    x = 11,201.16

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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.