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Finding the Fourth Proportional to 22,947.47, 34,422.06 and 6,308.81

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Solution

The fourth proportional to 22,947.47, 34,422.06 and 6,308.81 is: 9,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947.47 : 34,422.06 = 6,308.81 : x
  2. Step 2: Convert to fraction form
    22,947.47/34,422.06 = 6,308.81/x
  3. Step 3: Cross multiply
    22,947.47x = 34,422.06 × 6,308.81
  4. Step 4: Simplify right side
    22,947.47x = 217,162,236.35
  5. Step 5: Solve for x
    x = 217,162,236.35/22,947.47
  6. Step 6: Final answer
    x = 9,463.45

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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.