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Finding the Fourth Proportional to 22,533.57, 33,820.80 and 12,012.54

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Solution

The fourth proportional to 22,533.57, 33,820.80 and 12,012.54 is: 18,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.57 : 33,820.80 = 12,012.54 : x
  2. Step 2: Convert to fraction form
    22,533.57/33,820.80 = 12,012.54/x
  3. Step 3: Cross multiply
    22,533.57x = 33,820.80 × 12,012.54
  4. Step 4: Simplify right side
    22,533.57x = 406,273,712.83
  5. Step 5: Solve for x
    x = 406,273,712.83/22,533.57
  6. Step 6: Final answer
    x = 18,029.71

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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.