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Finding the Fourth Proportional to 18,205.31, 25,122.90 and 10,247.46

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Solution

The fourth proportional to 18,205.31, 25,122.90 and 10,247.46 is: 14,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.31 : 25,122.90 = 10,247.46 : x
  2. Step 2: Convert to fraction form
    18,205.31/25,122.90 = 10,247.46/x
  3. Step 3: Cross multiply
    18,205.31x = 25,122.90 × 10,247.46
  4. Step 4: Simplify right side
    18,205.31x = 257,445,912.83
  5. Step 5: Solve for x
    x = 257,445,912.83/18,205.31
  6. Step 6: Final answer
    x = 14,141.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.