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Finding the Fourth Proportional to 15,842.82, 23,766 and 7,076.61

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Solution

The fourth proportional to 15,842.82, 23,766 and 7,076.61 is: 10,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.82 : 23,766 = 7,076.61 : x
  2. Step 2: Convert to fraction form
    15,842.82/23,766 = 7,076.61/x
  3. Step 3: Cross multiply
    15,842.82x = 23,766 × 7,076.61
  4. Step 4: Simplify right side
    15,842.82x = 168,182,713.26
  5. Step 5: Solve for x
    x = 168,182,713.26/15,842.82
  6. Step 6: Final answer
    x = 10,615.71

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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.