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Finding the Fourth Proportional to 22,034.84, 33,052.79 and 7,243.16

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Solution

The fourth proportional to 22,034.84, 33,052.79 and 7,243.16 is: 10,864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034.84 : 33,052.79 = 7,243.16 : x
  2. Step 2: Convert to fraction form
    22,034.84/33,052.79 = 7,243.16/x
  3. Step 3: Cross multiply
    22,034.84x = 33,052.79 × 7,243.16
  4. Step 4: Simplify right side
    22,034.84x = 239,406,499.26
  5. Step 5: Solve for x
    x = 239,406,499.26/22,034.84
  6. Step 6: Final answer
    x = 10,864.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.