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Finding the Fourth Proportional to 12,001.14, 18,007.65 and 5,426.64

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Solution

The fourth proportional to 12,001.14, 18,007.65 and 5,426.64 is: 8,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.14 : 18,007.65 = 5,426.64 : x
  2. Step 2: Convert to fraction form
    12,001.14/18,007.65 = 5,426.64/x
  3. Step 3: Cross multiply
    12,001.14x = 18,007.65 × 5,426.64
  4. Step 4: Simplify right side
    12,001.14x = 97,721,033.80
  5. Step 5: Solve for x
    x = 97,721,033.80/12,001.14
  6. Step 6: Final answer
    x = 8,142.65

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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.