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Finding the Fourth Proportional to 12,115.46, 18,162.18 and 4,322.45

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Solution

The fourth proportional to 12,115.46, 18,162.18 and 4,322.45 is: 6,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.46 : 18,162.18 = 4,322.45 : x
  2. Step 2: Convert to fraction form
    12,115.46/18,162.18 = 4,322.45/x
  3. Step 3: Cross multiply
    12,115.46x = 18,162.18 × 4,322.45
  4. Step 4: Simplify right side
    12,115.46x = 78,505,024.13
  5. Step 5: Solve for x
    x = 78,505,024.13/12,115.46
  6. Step 6: Final answer
    x = 6,479.74

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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.