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Finding the Fourth Proportional to 12,001.14, 18,001.80 and 11,983.86

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Solution

The fourth proportional to 12,001.14, 18,001.80 and 11,983.86 is: 17,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.14 : 18,001.80 = 11,983.86 : x
  2. Step 2: Convert to fraction form
    12,001.14/18,001.80 = 11,983.86/x
  3. Step 3: Cross multiply
    12,001.14x = 18,001.80 × 11,983.86
  4. Step 4: Simplify right side
    12,001.14x = 215,731,050.95
  5. Step 5: Solve for x
    x = 215,731,050.95/12,001.14
  6. Step 6: Final answer
    x = 17,975.88

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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.