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Finding the Fourth Proportional to 22,048.23, 33,075.99 and 10,213.83

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Solution

The fourth proportional to 22,048.23, 33,075.99 and 10,213.83 is: 15,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048.23 : 33,075.99 = 10,213.83 : x
  2. Step 2: Convert to fraction form
    22,048.23/33,075.99 = 10,213.83/x
  3. Step 3: Cross multiply
    22,048.23x = 33,075.99 × 10,213.83
  4. Step 4: Simplify right side
    22,048.23x = 337,832,538.94
  5. Step 5: Solve for x
    x = 337,832,538.94/22,048.23
  6. Step 6: Final answer
    x = 15,322.43

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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.