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Finding the Fourth Proportional to 16,846.47, 25,270.92 and 5,158.17

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Solution

The fourth proportional to 16,846.47, 25,270.92 and 5,158.17 is: 7,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846.47 : 25,270.92 = 5,158.17 : x
  2. Step 2: Convert to fraction form
    16,846.47/25,270.92 = 5,158.17/x
  3. Step 3: Cross multiply
    16,846.47x = 25,270.92 × 5,158.17
  4. Step 4: Simplify right side
    16,846.47x = 130,351,701.42
  5. Step 5: Solve for x
    x = 130,351,701.42/16,846.47
  6. Step 6: Final answer
    x = 7,737.63

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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.