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Finding the Fourth Proportional to 22,029.78, 33,033.70 and 7,034.96

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Solution

The fourth proportional to 22,029.78, 33,033.70 and 7,034.96 is: 10,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,029.78 : 33,033.70 = 7,034.96 : x
  2. Step 2: Convert to fraction form
    22,029.78/33,033.70 = 7,034.96/x
  3. Step 3: Cross multiply
    22,029.78x = 33,033.70 × 7,034.96
  4. Step 4: Simplify right side
    22,029.78x = 232,390,758.15
  5. Step 5: Solve for x
    x = 232,390,758.15/22,029.78
  6. Step 6: Final answer
    x = 10,548.94

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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.