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Finding the Fourth Proportional to 22,028.80, 32,975.70 and 12,137.80

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Solution

The fourth proportional to 22,028.80, 32,975.70 and 12,137.80 is: 18,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,028.80 : 32,975.70 = 12,137.80 : x
  2. Step 2: Convert to fraction form
    22,028.80/32,975.70 = 12,137.80/x
  3. Step 3: Cross multiply
    22,028.80x = 32,975.70 × 12,137.80
  4. Step 4: Simplify right side
    22,028.80x = 400,252,451.46
  5. Step 5: Solve for x
    x = 400,252,451.46/22,028.80
  6. Step 6: Final answer
    x = 18,169.51

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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.