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Finding the Fourth Proportional to 22,631.46, 33,947.57 and 7,840.81

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Solution

The fourth proportional to 22,631.46, 33,947.57 and 7,840.81 is: 11,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,631.46 : 33,947.57 = 7,840.81 : x
  2. Step 2: Convert to fraction form
    22,631.46/33,947.57 = 7,840.81/x
  3. Step 3: Cross multiply
    22,631.46x = 33,947.57 × 7,840.81
  4. Step 4: Simplify right side
    22,631.46x = 266,176,446.33
  5. Step 5: Solve for x
    x = 266,176,446.33/22,631.46
  6. Step 6: Final answer
    x = 11,761.35

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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.