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Finding the Fourth Proportional to 16,734, 25,084.67 and 7,966.56

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Solution

The fourth proportional to 16,734, 25,084.67 and 7,966.56 is: 11,942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,734 : 25,084.67 = 7,966.56 : x
  2. Step 2: Convert to fraction form
    16,734/25,084.67 = 7,966.56/x
  3. Step 3: Cross multiply
    16,734x = 25,084.67 × 7,966.56
  4. Step 4: Simplify right side
    16,734x = 199,838,528.64
  5. Step 5: Solve for x
    x = 199,838,528.64/16,734
  6. Step 6: Final answer
    x = 11,942.07

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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.