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Finding the Fourth Proportional to 12,034.14, 18,007.46 and 9,934.62

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Solution

The fourth proportional to 12,034.14, 18,007.46 and 9,934.62 is: 14,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.14 : 18,007.46 = 9,934.62 : x
  2. Step 2: Convert to fraction form
    12,034.14/18,007.46 = 9,934.62/x
  3. Step 3: Cross multiply
    12,034.14x = 18,007.46 × 9,934.62
  4. Step 4: Simplify right side
    12,034.14x = 178,897,272.27
  5. Step 5: Solve for x
    x = 178,897,272.27/12,034.14
  6. Step 6: Final answer
    x = 14,865.81

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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.