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Finding the Fourth Proportional to 13,648.39, 20,472.83 and 4,288.23

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Solution

The fourth proportional to 13,648.39, 20,472.83 and 4,288.23 is: 6,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.39 : 20,472.83 = 4,288.23 : x
  2. Step 2: Convert to fraction form
    13,648.39/20,472.83 = 4,288.23/x
  3. Step 3: Cross multiply
    13,648.39x = 20,472.83 × 4,288.23
  4. Step 4: Simplify right side
    13,648.39x = 87,792,203.79
  5. Step 5: Solve for x
    x = 87,792,203.79/13,648.39
  6. Step 6: Final answer
    x = 6,432.42

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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.