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Finding the Fourth Proportional to 15,793.31, 23,682.04 and 5,259.62

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Solution

The fourth proportional to 15,793.31, 23,682.04 and 5,259.62 is: 7,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,793.31 : 23,682.04 = 5,259.62 : x
  2. Step 2: Convert to fraction form
    15,793.31/23,682.04 = 5,259.62/x
  3. Step 3: Cross multiply
    15,793.31x = 23,682.04 × 5,259.62
  4. Step 4: Simplify right side
    15,793.31x = 124,558,577.28
  5. Step 5: Solve for x
    x = 124,558,577.28/15,793.31
  6. Step 6: Final answer
    x = 7,886.79

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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.