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Finding the Fourth Proportional to 22,206.96, 33,314.76 and 10,513.80

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Solution

The fourth proportional to 22,206.96, 33,314.76 and 10,513.80 is: 15,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206.96 : 33,314.76 = 10,513.80 : x
  2. Step 2: Convert to fraction form
    22,206.96/33,314.76 = 10,513.80/x
  3. Step 3: Cross multiply
    22,206.96x = 33,314.76 × 10,513.80
  4. Step 4: Simplify right side
    22,206.96x = 350,264,723.69
  5. Step 5: Solve for x
    x = 350,264,723.69/22,206.96
  6. Step 6: Final answer
    x = 15,772.75

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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.