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Finding the Fourth Proportional to 21,922.60, 32,886.30 and 21,231.40

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Solution

The fourth proportional to 21,922.60, 32,886.30 and 21,231.40 is: 31,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.60 : 32,886.30 = 21,231.40 : x
  2. Step 2: Convert to fraction form
    21,922.60/32,886.30 = 21,231.40/x
  3. Step 3: Cross multiply
    21,922.60x = 32,886.30 × 21,231.40
  4. Step 4: Simplify right side
    21,922.60x = 698,222,189.82
  5. Step 5: Solve for x
    x = 698,222,189.82/21,922.60
  6. Step 6: Final answer
    x = 31,849.42

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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.