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Finding the Fourth Proportional to 12,171.68, 18,261.96 and 8,843.12

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Solution

The fourth proportional to 12,171.68, 18,261.96 and 8,843.12 is: 13,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.68 : 18,261.96 = 8,843.12 : x
  2. Step 2: Convert to fraction form
    12,171.68/18,261.96 = 8,843.12/x
  3. Step 3: Cross multiply
    12,171.68x = 18,261.96 × 8,843.12
  4. Step 4: Simplify right side
    12,171.68x = 161,492,703.72
  5. Step 5: Solve for x
    x = 161,492,703.72/12,171.68
  6. Step 6: Final answer
    x = 13,267.91

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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.