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Finding the Fourth Proportional to 22,369.68, 33,554.16 and 10,057.68

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Solution

The fourth proportional to 22,369.68, 33,554.16 and 10,057.68 is: 15,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,369.68 : 33,554.16 = 10,057.68 : x
  2. Step 2: Convert to fraction form
    22,369.68/33,554.16 = 10,057.68/x
  3. Step 3: Cross multiply
    22,369.68x = 33,554.16 × 10,057.68
  4. Step 4: Simplify right side
    22,369.68x = 337,477,003.95
  5. Step 5: Solve for x
    x = 337,477,003.95/22,369.68
  6. Step 6: Final answer
    x = 15,086.36

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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.