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Finding the Fourth Proportional to 12,909.60, 19,365.84 and 4,141.44

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Solution

The fourth proportional to 12,909.60, 19,365.84 and 4,141.44 is: 6,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.60 : 19,365.84 = 4,141.44 : x
  2. Step 2: Convert to fraction form
    12,909.60/19,365.84 = 4,141.44/x
  3. Step 3: Cross multiply
    12,909.60x = 19,365.84 × 4,141.44
  4. Step 4: Simplify right side
    12,909.60x = 80,202,464.41
  5. Step 5: Solve for x
    x = 80,202,464.41/12,909.60
  6. Step 6: Final answer
    x = 6,212.62

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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.