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Finding the Fourth Proportional to 20,912.42, 31,362 and 6,869.18

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Solution

The fourth proportional to 20,912.42, 31,362 and 6,869.18 is: 10,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,912.42 : 31,362 = 6,869.18 : x
  2. Step 2: Convert to fraction form
    20,912.42/31,362 = 6,869.18/x
  3. Step 3: Cross multiply
    20,912.42x = 31,362 × 6,869.18
  4. Step 4: Simplify right side
    20,912.42x = 215,431,223.16
  5. Step 5: Solve for x
    x = 215,431,223.16/20,912.42
  6. Step 6: Final answer
    x = 10,301.59

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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.