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Finding the Fourth Proportional to 21,932.26, 32,883.92 and 7,885.24

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Solution

The fourth proportional to 21,932.26, 32,883.92 and 7,885.24 is: 11,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,932.26 : 32,883.92 = 7,885.24 : x
  2. Step 2: Convert to fraction form
    21,932.26/32,883.92 = 7,885.24/x
  3. Step 3: Cross multiply
    21,932.26x = 32,883.92 × 7,885.24
  4. Step 4: Simplify right side
    21,932.26x = 259,297,601.34
  5. Step 5: Solve for x
    x = 259,297,601.34/21,932.26
  6. Step 6: Final answer
    x = 11,822.66

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1.5x scale

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.