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Finding the Fourth Proportional to 22,478.92, 31,015.52 and 14,519.78

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Solution

The fourth proportional to 22,478.92, 31,015.52 and 14,519.78 is: 20,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.92 : 31,015.52 = 14,519.78 : x
  2. Step 2: Convert to fraction form
    22,478.92/31,015.52 = 14,519.78/x
  3. Step 3: Cross multiply
    22,478.92x = 31,015.52 × 14,519.78
  4. Step 4: Simplify right side
    22,478.92x = 450,338,526.99
  5. Step 5: Solve for x
    x = 450,338,526.99/22,478.92
  6. Step 6: Final answer
    x = 20,033.82

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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.