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Finding the Fourth Proportional to 12,164.14, 18,251.16 and 4,373.56

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Solution

The fourth proportional to 12,164.14, 18,251.16 and 4,373.56 is: 6,562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.14 : 18,251.16 = 4,373.56 : x
  2. Step 2: Convert to fraction form
    12,164.14/18,251.16 = 4,373.56/x
  3. Step 3: Cross multiply
    12,164.14x = 18,251.16 × 4,373.56
  4. Step 4: Simplify right side
    12,164.14x = 79,822,543.33
  5. Step 5: Solve for x
    x = 79,822,543.33/12,164.14
  6. Step 6: Final answer
    x = 6,562.12

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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.