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Finding the Fourth Proportional to 15,523.38, 21,422.34 and 8,449.92

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Solution

The fourth proportional to 15,523.38, 21,422.34 and 8,449.92 is: 11,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,523.38 : 21,422.34 = 8,449.92 : x
  2. Step 2: Convert to fraction form
    15,523.38/21,422.34 = 8,449.92/x
  3. Step 3: Cross multiply
    15,523.38x = 21,422.34 × 8,449.92
  4. Step 4: Simplify right side
    15,523.38x = 181,017,059.21
  5. Step 5: Solve for x
    x = 181,017,059.21/15,523.38
  6. Step 6: Final answer
    x = 11,660.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.