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Finding the Fourth Proportional to 22,052.54, 33,034.50 and 10,189.70

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Solution

The fourth proportional to 22,052.54, 33,034.50 and 10,189.70 is: 15,264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,052.54 : 33,034.50 = 10,189.70 : x
  2. Step 2: Convert to fraction form
    22,052.54/33,034.50 = 10,189.70/x
  3. Step 3: Cross multiply
    22,052.54x = 33,034.50 × 10,189.70
  4. Step 4: Simplify right side
    22,052.54x = 336,611,644.65
  5. Step 5: Solve for x
    x = 336,611,644.65/22,052.54
  6. Step 6: Final answer
    x = 15,264.08

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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.