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Finding the Fourth Proportional to 19,787.60, 29,698.20 and 8,109.20

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Solution

The fourth proportional to 19,787.60, 29,698.20 and 8,109.20 is: 12,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,787.60 : 29,698.20 = 8,109.20 : x
  2. Step 2: Convert to fraction form
    19,787.60/29,698.20 = 8,109.20/x
  3. Step 3: Cross multiply
    19,787.60x = 29,698.20 × 8,109.20
  4. Step 4: Simplify right side
    19,787.60x = 240,828,643.44
  5. Step 5: Solve for x
    x = 240,828,643.44/19,787.60
  6. Step 6: Final answer
    x = 12,170.68

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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.