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Finding the Fourth Proportional to 16,906.16, 25,344.36 and 6,510.80

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Solution

The fourth proportional to 16,906.16, 25,344.36 and 6,510.80 is: 9,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.16 : 25,344.36 = 6,510.80 : x
  2. Step 2: Convert to fraction form
    16,906.16/25,344.36 = 6,510.80/x
  3. Step 3: Cross multiply
    16,906.16x = 25,344.36 × 6,510.80
  4. Step 4: Simplify right side
    16,906.16x = 165,012,059.09
  5. Step 5: Solve for x
    x = 165,012,059.09/16,906.16
  6. Step 6: Final answer
    x = 9,760.47

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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.