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Finding the Fourth Proportional to 20,720.16, 31,093.20 and 8,408.16

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Solution

The fourth proportional to 20,720.16, 31,093.20 and 8,408.16 is: 12,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,720.16 : 31,093.20 = 8,408.16 : x
  2. Step 2: Convert to fraction form
    20,720.16/31,093.20 = 8,408.16/x
  3. Step 3: Cross multiply
    20,720.16x = 31,093.20 × 8,408.16
  4. Step 4: Simplify right side
    20,720.16x = 261,436,600.51
  5. Step 5: Solve for x
    x = 261,436,600.51/20,720.16
  6. Step 6: Final answer
    x = 12,617.50

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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.