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Finding the Fourth Proportional to 22,052.34, 33,071.31 and 7,257.78

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Solution

The fourth proportional to 22,052.34, 33,071.31 and 7,257.78 is: 10,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,052.34 : 33,071.31 = 7,257.78 : x
  2. Step 2: Convert to fraction form
    22,052.34/33,071.31 = 7,257.78/x
  3. Step 3: Cross multiply
    22,052.34x = 33,071.31 × 7,257.78
  4. Step 4: Simplify right side
    22,052.34x = 240,024,292.29
  5. Step 5: Solve for x
    x = 240,024,292.29/22,052.34
  6. Step 6: Final answer
    x = 10,884.30

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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.