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Finding the Fourth Proportional to 12,444.14, 18,655.14 and 4,121.71

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Solution

The fourth proportional to 12,444.14, 18,655.14 and 4,121.71 is: 6,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.14 : 18,655.14 = 4,121.71 : x
  2. Step 2: Convert to fraction form
    12,444.14/18,655.14 = 4,121.71/x
  3. Step 3: Cross multiply
    12,444.14x = 18,655.14 × 4,121.71
  4. Step 4: Simplify right side
    12,444.14x = 76,891,077.09
  5. Step 5: Solve for x
    x = 76,891,077.09/12,444.14
  6. Step 6: Final answer
    x = 6,178.90

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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.