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Finding the Fourth Proportional to 16,902.31, 23,324.76 and 9,348.46

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Solution

The fourth proportional to 16,902.31, 23,324.76 and 9,348.46 is: 12,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902.31 : 23,324.76 = 9,348.46 : x
  2. Step 2: Convert to fraction form
    16,902.31/23,324.76 = 9,348.46/x
  3. Step 3: Cross multiply
    16,902.31x = 23,324.76 × 9,348.46
  4. Step 4: Simplify right side
    16,902.31x = 218,050,585.87
  5. Step 5: Solve for x
    x = 218,050,585.87/16,902.31
  6. Step 6: Final answer
    x = 12,900.64

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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.