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Finding the Fourth Proportional to 20,758.68, 31,134.18 and 6,903.96

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Solution

The fourth proportional to 20,758.68, 31,134.18 and 6,903.96 is: 10,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,758.68 : 31,134.18 = 6,903.96 : x
  2. Step 2: Convert to fraction form
    20,758.68/31,134.18 = 6,903.96/x
  3. Step 3: Cross multiply
    20,758.68x = 31,134.18 × 6,903.96
  4. Step 4: Simplify right side
    20,758.68x = 214,949,133.35
  5. Step 5: Solve for x
    x = 214,949,133.35/20,758.68
  6. Step 6: Final answer
    x = 10,354.66

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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.