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Finding the Fourth Proportional to 22,071.76, 33,075.41 and 10,229.15

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Solution

The fourth proportional to 22,071.76, 33,075.41 and 10,229.15 is: 15,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,071.76 : 33,075.41 = 10,229.15 : x
  2. Step 2: Convert to fraction form
    22,071.76/33,075.41 = 10,229.15/x
  3. Step 3: Cross multiply
    22,071.76x = 33,075.41 × 10,229.15
  4. Step 4: Simplify right side
    22,071.76x = 338,333,361.74
  5. Step 5: Solve for x
    x = 338,333,361.74/22,071.76
  6. Step 6: Final answer
    x = 15,328.79

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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.