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Finding the Fourth Proportional to 20,441.54, 30,652.51 and 9,344.90

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Solution

The fourth proportional to 20,441.54, 30,652.51 and 9,344.90 is: 14,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,441.54 : 30,652.51 = 9,344.90 : x
  2. Step 2: Convert to fraction form
    20,441.54/30,652.51 = 9,344.90/x
  3. Step 3: Cross multiply
    20,441.54x = 30,652.51 × 9,344.90
  4. Step 4: Simplify right side
    20,441.54x = 286,444,640.70
  5. Step 5: Solve for x
    x = 286,444,640.70/20,441.54
  6. Step 6: Final answer
    x = 14,012.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.