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Finding the Fourth Proportional to 12,444.14, 18,666.21 and 3,678.38

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Solution

The fourth proportional to 12,444.14, 18,666.21 and 3,678.38 is: 5,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.14 : 18,666.21 = 3,678.38 : x
  2. Step 2: Convert to fraction form
    12,444.14/18,666.21 = 3,678.38/x
  3. Step 3: Cross multiply
    12,444.14x = 18,666.21 × 3,678.38
  4. Step 4: Simplify right side
    12,444.14x = 68,661,404.00
  5. Step 5: Solve for x
    x = 68,661,404.00/12,444.14
  6. Step 6: Final answer
    x = 5,517.57

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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.