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Finding the Fourth Proportional to 16,797, 25,179.92 and 7,432.04

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Solution

The fourth proportional to 16,797, 25,179.92 and 7,432.04 is: 11,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,797 : 25,179.92 = 7,432.04 : x
  2. Step 2: Convert to fraction form
    16,797/25,179.92 = 7,432.04/x
  3. Step 3: Cross multiply
    16,797x = 25,179.92 × 7,432.04
  4. Step 4: Simplify right side
    16,797x = 187,138,172.64
  5. Step 5: Solve for x
    x = 187,138,172.64/16,797
  6. Step 6: Final answer
    x = 11,141.17

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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.