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Finding the Fourth Proportional to 21,856.44, 32,792.34 and 9,375.96

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Solution

The fourth proportional to 21,856.44, 32,792.34 and 9,375.96 is: 14,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.44 : 32,792.34 = 9,375.96 : x
  2. Step 2: Convert to fraction form
    21,856.44/32,792.34 = 9,375.96/x
  3. Step 3: Cross multiply
    21,856.44x = 32,792.34 × 9,375.96
  4. Step 4: Simplify right side
    21,856.44x = 307,459,668.15
  5. Step 5: Solve for x
    x = 307,459,668.15/21,856.44
  6. Step 6: Final answer
    x = 14,067.23

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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.