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Finding the Fourth Proportional to 12,114.10, 18,170.01 and 4,214.73

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Solution

The fourth proportional to 12,114.10, 18,170.01 and 4,214.73 is: 6,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.10 : 18,170.01 = 4,214.73 : x
  2. Step 2: Convert to fraction form
    12,114.10/18,170.01 = 4,214.73/x
  3. Step 3: Cross multiply
    12,114.10x = 18,170.01 × 4,214.73
  4. Step 4: Simplify right side
    12,114.10x = 76,581,686.25
  5. Step 5: Solve for x
    x = 76,581,686.25/12,114.10
  6. Step 6: Final answer
    x = 6,321.70

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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.