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Finding the Fourth Proportional to 22,411.84, 33,617.52 and 5,771.80

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Solution

The fourth proportional to 22,411.84, 33,617.52 and 5,771.80 is: 8,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,411.84 : 33,617.52 = 5,771.80 : x
  2. Step 2: Convert to fraction form
    22,411.84/33,617.52 = 5,771.80/x
  3. Step 3: Cross multiply
    22,411.84x = 33,617.52 × 5,771.80
  4. Step 4: Simplify right side
    22,411.84x = 194,033,601.94
  5. Step 5: Solve for x
    x = 194,033,601.94/22,411.84
  6. Step 6: Final answer
    x = 8,657.64

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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.