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Finding the Fourth Proportional to 22,424.20, 30,928.90 and 14,462.44

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Solution

The fourth proportional to 22,424.20, 30,928.90 and 14,462.44 is: 19,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.20 : 30,928.90 = 14,462.44 : x
  2. Step 2: Convert to fraction form
    22,424.20/30,928.90 = 14,462.44/x
  3. Step 3: Cross multiply
    22,424.20x = 30,928.90 × 14,462.44
  4. Step 4: Simplify right side
    22,424.20x = 447,307,360.52
  5. Step 5: Solve for x
    x = 447,307,360.52/22,424.20
  6. Step 6: Final answer
    x = 19,947.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.