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Finding the Fourth Proportional to 20,903.97, 31,358.90 and 6,114

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Solution

The fourth proportional to 20,903.97, 31,358.90 and 6,114 is: 9,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,903.97 : 31,358.90 = 6,114 : x
  2. Step 2: Convert to fraction form
    20,903.97/31,358.90 = 6,114/x
  3. Step 3: Cross multiply
    20,903.97x = 31,358.90 × 6,114
  4. Step 4: Simplify right side
    20,903.97x = 191,728,314.60
  5. Step 5: Solve for x
    x = 191,728,314.60/20,903.97
  6. Step 6: Final answer
    x = 9,171.86

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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.