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Finding the Fourth Proportional to 22,013.40, 32,976.90 and 20,458.20

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Solution

The fourth proportional to 22,013.40, 32,976.90 and 20,458.20 is: 30,647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,013.40 : 32,976.90 = 20,458.20 : x
  2. Step 2: Convert to fraction form
    22,013.40/32,976.90 = 20,458.20/x
  3. Step 3: Cross multiply
    22,013.40x = 32,976.90 × 20,458.20
  4. Step 4: Simplify right side
    22,013.40x = 674,648,015.58
  5. Step 5: Solve for x
    x = 674,648,015.58/22,013.40
  6. Step 6: Final answer
    x = 30,647.15

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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.