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Finding the Fourth Proportional to 16,846.92, 25,272 and 5,158.08

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Solution

The fourth proportional to 16,846.92, 25,272 and 5,158.08 is: 7,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846.92 : 25,272 = 5,158.08 : x
  2. Step 2: Convert to fraction form
    16,846.92/25,272 = 5,158.08/x
  3. Step 3: Cross multiply
    16,846.92x = 25,272 × 5,158.08
  4. Step 4: Simplify right side
    16,846.92x = 130,354,997.76
  5. Step 5: Solve for x
    x = 130,354,997.76/16,846.92
  6. Step 6: Final answer
    x = 7,737.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.