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Finding the Fourth Proportional to 20,937.96, 31,408.32 and 9,251.28

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Solution

The fourth proportional to 20,937.96, 31,408.32 and 9,251.28 is: 13,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,937.96 : 31,408.32 = 9,251.28 : x
  2. Step 2: Convert to fraction form
    20,937.96/31,408.32 = 9,251.28/x
  3. Step 3: Cross multiply
    20,937.96x = 31,408.32 × 9,251.28
  4. Step 4: Simplify right side
    20,937.96x = 290,567,162.65
  5. Step 5: Solve for x
    x = 290,567,162.65/20,937.96
  6. Step 6: Final answer
    x = 13,877.53

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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.