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Finding the Fourth Proportional to 15,956.80, 23,947.95 and 7,192.39

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Solution

The fourth proportional to 15,956.80, 23,947.95 and 7,192.39 is: 10,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,956.80 : 23,947.95 = 7,192.39 : x
  2. Step 2: Convert to fraction form
    15,956.80/23,947.95 = 7,192.39/x
  3. Step 3: Cross multiply
    15,956.80x = 23,947.95 × 7,192.39
  4. Step 4: Simplify right side
    15,956.80x = 172,242,996.10
  5. Step 5: Solve for x
    x = 172,242,996.10/15,956.80
  6. Step 6: Final answer
    x = 10,794.33

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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.