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Finding the Fourth Proportional to 22,013.49, 33,024.35 and 7,226.64

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Solution

The fourth proportional to 22,013.49, 33,024.35 and 7,226.64 is: 10,841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,013.49 : 33,024.35 = 7,226.64 : x
  2. Step 2: Convert to fraction form
    22,013.49/33,024.35 = 7,226.64/x
  3. Step 3: Cross multiply
    22,013.49x = 33,024.35 × 7,226.64
  4. Step 4: Simplify right side
    22,013.49x = 238,655,052.55
  5. Step 5: Solve for x
    x = 238,655,052.55/22,013.49
  6. Step 6: Final answer
    x = 10,841.31

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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.