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Finding the Fourth Proportional to 21,706.92, 32,566.20 and 9,227.52

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Solution

The fourth proportional to 21,706.92, 32,566.20 and 9,227.52 is: 13,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.92 : 32,566.20 = 9,227.52 : x
  2. Step 2: Convert to fraction form
    21,706.92/32,566.20 = 9,227.52/x
  3. Step 3: Cross multiply
    21,706.92x = 32,566.20 × 9,227.52
  4. Step 4: Simplify right side
    21,706.92x = 300,505,261.82
  5. Step 5: Solve for x
    x = 300,505,261.82/21,706.92
  6. Step 6: Final answer
    x = 13,843.75

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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.