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Finding the Fourth Proportional to 20,938.68, 31,408.02 and 6,147.50

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Solution

The fourth proportional to 20,938.68, 31,408.02 and 6,147.50 is: 9,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938.68 : 31,408.02 = 6,147.50 : x
  2. Step 2: Convert to fraction form
    20,938.68/31,408.02 = 6,147.50/x
  3. Step 3: Cross multiply
    20,938.68x = 31,408.02 × 6,147.50
  4. Step 4: Simplify right side
    20,938.68x = 193,080,645.91
  5. Step 5: Solve for x
    x = 193,080,645.91/20,938.68
  6. Step 6: Final answer
    x = 9,221.24

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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.