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Finding the Fourth Proportional to 20,705.57, 31,057.99 and 5,123.19

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Solution

The fourth proportional to 20,705.57, 31,057.99 and 5,123.19 is: 7,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.57 : 31,057.99 = 5,123.19 : x
  2. Step 2: Convert to fraction form
    20,705.57/31,057.99 = 5,123.19/x
  3. Step 3: Cross multiply
    20,705.57x = 31,057.99 × 5,123.19
  4. Step 4: Simplify right side
    20,705.57x = 159,115,983.79
  5. Step 5: Solve for x
    x = 159,115,983.79/20,705.57
  6. Step 6: Final answer
    x = 7,684.69

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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.