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Finding the Fourth Proportional to 22,049.60, 32,993.40 and 16,217.60

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Solution

The fourth proportional to 22,049.60, 32,993.40 and 16,217.60 is: 24,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,049.60 : 32,993.40 = 16,217.60 : x
  2. Step 2: Convert to fraction form
    22,049.60/32,993.40 = 16,217.60/x
  3. Step 3: Cross multiply
    22,049.60x = 32,993.40 × 16,217.60
  4. Step 4: Simplify right side
    22,049.60x = 535,073,763.84
  5. Step 5: Solve for x
    x = 535,073,763.84/22,049.60
  6. Step 6: Final answer
    x = 24,266.82

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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.