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Finding the Fourth Proportional to 21,922.65, 32,883.96 and 7,882.72

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Solution

The fourth proportional to 21,922.65, 32,883.96 and 7,882.72 is: 11,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.65 : 32,883.96 = 7,882.72 : x
  2. Step 2: Convert to fraction form
    21,922.65/32,883.96 = 7,882.72/x
  3. Step 3: Cross multiply
    21,922.65x = 32,883.96 × 7,882.72
  4. Step 4: Simplify right side
    21,922.65x = 259,214,952.18
  5. Step 5: Solve for x
    x = 259,214,952.18/21,922.65
  6. Step 6: Final answer
    x = 11,824.07

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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.