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Finding the Fourth Proportional to 23,284.73, 34,912.06 and 9,966.42

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Solution

The fourth proportional to 23,284.73, 34,912.06 and 9,966.42 is: 14,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284.73 : 34,912.06 = 9,966.42 : x
  2. Step 2: Convert to fraction form
    23,284.73/34,912.06 = 9,966.42/x
  3. Step 3: Cross multiply
    23,284.73x = 34,912.06 × 9,966.42
  4. Step 4: Simplify right side
    23,284.73x = 347,948,253.03
  5. Step 5: Solve for x
    x = 347,948,253.03/23,284.73
  6. Step 6: Final answer
    x = 14,943.19

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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.