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Finding the Fourth Proportional to 22,264.97, 33,409.75 and 12,409.80

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Solution

The fourth proportional to 22,264.97, 33,409.75 and 12,409.80 is: 18,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.97 : 33,409.75 = 12,409.80 : x
  2. Step 2: Convert to fraction form
    22,264.97/33,409.75 = 12,409.80/x
  3. Step 3: Cross multiply
    22,264.97x = 33,409.75 × 12,409.80
  4. Step 4: Simplify right side
    22,264.97x = 414,608,315.55
  5. Step 5: Solve for x
    x = 414,608,315.55/22,264.97
  6. Step 6: Final answer
    x = 18,621.55

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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.