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Finding the Fourth Proportional to 14,706.49, 22,062.47 and 5,947.56

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Solution

The fourth proportional to 14,706.49, 22,062.47 and 5,947.56 is: 8,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.49 : 22,062.47 = 5,947.56 : x
  2. Step 2: Convert to fraction form
    14,706.49/22,062.47 = 5,947.56/x
  3. Step 3: Cross multiply
    14,706.49x = 22,062.47 × 5,947.56
  4. Step 4: Simplify right side
    14,706.49x = 131,217,724.02
  5. Step 5: Solve for x
    x = 131,217,724.02/14,706.49
  6. Step 6: Final answer
    x = 8,922.44

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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.