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Finding the Fourth Proportional to 21,922.68, 32,856.34 and 14,022.20

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Solution

The fourth proportional to 21,922.68, 32,856.34 and 14,022.20 is: 21,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.68 : 32,856.34 = 14,022.20 : x
  2. Step 2: Convert to fraction form
    21,922.68/32,856.34 = 14,022.20/x
  3. Step 3: Cross multiply
    21,922.68x = 32,856.34 × 14,022.20
  4. Step 4: Simplify right side
    21,922.68x = 460,718,170.75
  5. Step 5: Solve for x
    x = 460,718,170.75/21,922.68
  6. Step 6: Final answer
    x = 21,015.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.