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Finding the Fourth Proportional to 27,998.19, 42,001.83 and 8,278.74

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Solution

The fourth proportional to 27,998.19, 42,001.83 and 8,278.74 is: 12,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998.19 : 42,001.83 = 8,278.74 : x
  2. Step 2: Convert to fraction form
    27,998.19/42,001.83 = 8,278.74/x
  3. Step 3: Cross multiply
    27,998.19x = 42,001.83 × 8,278.74
  4. Step 4: Simplify right side
    27,998.19x = 347,722,230.09
  5. Step 5: Solve for x
    x = 347,722,230.09/27,998.19
  6. Step 6: Final answer
    x = 12,419.45

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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.