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Finding the Fourth Proportional to 27,947.23, 41,926.02 and 9,228.57

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Solution

The fourth proportional to 27,947.23, 41,926.02 and 9,228.57 is: 13,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,947.23 : 41,926.02 = 9,228.57 : x
  2. Step 2: Convert to fraction form
    27,947.23/41,926.02 = 9,228.57/x
  3. Step 3: Cross multiply
    27,947.23x = 41,926.02 × 9,228.57
  4. Step 4: Simplify right side
    27,947.23x = 386,917,210.39
  5. Step 5: Solve for x
    x = 386,917,210.39/27,947.23
  6. Step 6: Final answer
    x = 13,844.56

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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.