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Finding the Fourth Proportional to 22,543.82, 33,816.50 and 7,752.61

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Solution

The fourth proportional to 22,543.82, 33,816.50 and 7,752.61 is: 11,629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.82 : 33,816.50 = 7,752.61 : x
  2. Step 2: Convert to fraction form
    22,543.82/33,816.50 = 7,752.61/x
  3. Step 3: Cross multiply
    22,543.82x = 33,816.50 × 7,752.61
  4. Step 4: Simplify right side
    22,543.82x = 262,166,136.07
  5. Step 5: Solve for x
    x = 262,166,136.07/22,543.82
  6. Step 6: Final answer
    x = 11,629.18

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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.