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Finding the Fourth Proportional to 22,098.71, 33,143.74 and 8,244.95

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Solution

The fourth proportional to 22,098.71, 33,143.74 and 8,244.95 is: 12,365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.71 : 33,143.74 = 8,244.95 : x
  2. Step 2: Convert to fraction form
    22,098.71/33,143.74 = 8,244.95/x
  3. Step 3: Cross multiply
    22,098.71x = 33,143.74 × 8,244.95
  4. Step 4: Simplify right side
    22,098.71x = 273,268,479.11
  5. Step 5: Solve for x
    x = 273,268,479.11/22,098.71
  6. Step 6: Final answer
    x = 12,365.81

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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.