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Finding the Fourth Proportional to 12,065.64, 18,118.37 and 8,142.11

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Solution

The fourth proportional to 12,065.64, 18,118.37 and 8,142.11 is: 12,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065.64 : 18,118.37 = 8,142.11 : x
  2. Step 2: Convert to fraction form
    12,065.64/18,118.37 = 8,142.11/x
  3. Step 3: Cross multiply
    12,065.64x = 18,118.37 × 8,142.11
  4. Step 4: Simplify right side
    12,065.64x = 147,521,630.26
  5. Step 5: Solve for x
    x = 147,521,630.26/12,065.64
  6. Step 6: Final answer
    x = 12,226.59

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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.