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Finding the Fourth Proportional to 22,541.76, 33,797.52 and 20,196

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Solution

The fourth proportional to 22,541.76, 33,797.52 and 20,196 is: 30,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,541.76 : 33,797.52 = 20,196 : x
  2. Step 2: Convert to fraction form
    22,541.76/33,797.52 = 20,196/x
  3. Step 3: Cross multiply
    22,541.76x = 33,797.52 × 20,196
  4. Step 4: Simplify right side
    22,541.76x = 682,574,713.92
  5. Step 5: Solve for x
    x = 682,574,713.92/22,541.76
  6. Step 6: Final answer
    x = 30,280.45

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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.