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Finding the Fourth Proportional to 20,888.14, 31,347.79 and 8,408.28

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Solution

The fourth proportional to 20,888.14, 31,347.79 and 8,408.28 is: 12,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,888.14 : 31,347.79 = 8,408.28 : x
  2. Step 2: Convert to fraction form
    20,888.14/31,347.79 = 8,408.28/x
  3. Step 3: Cross multiply
    20,888.14x = 31,347.79 × 8,408.28
  4. Step 4: Simplify right side
    20,888.14x = 263,580,995.70
  5. Step 5: Solve for x
    x = 263,580,995.70/20,888.14
  6. Step 6: Final answer
    x = 12,618.69

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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.