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Finding the Fourth Proportional to 12,106.17, 18,161.69 and 4,314.78

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Solution

The fourth proportional to 12,106.17, 18,161.69 and 4,314.78 is: 6,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.17 : 18,161.69 = 4,314.78 : x
  2. Step 2: Convert to fraction form
    12,106.17/18,161.69 = 4,314.78/x
  3. Step 3: Cross multiply
    12,106.17x = 18,161.69 × 4,314.78
  4. Step 4: Simplify right side
    12,106.17x = 78,363,675.20
  5. Step 5: Solve for x
    x = 78,363,675.20/12,106.17
  6. Step 6: Final answer
    x = 6,473.04

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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.