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Finding the Fourth Proportional to 22,072.56, 33,109.86 and 7,282.77

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Solution

The fourth proportional to 22,072.56, 33,109.86 and 7,282.77 is: 10,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,072.56 : 33,109.86 = 7,282.77 : x
  2. Step 2: Convert to fraction form
    22,072.56/33,109.86 = 7,282.77/x
  3. Step 3: Cross multiply
    22,072.56x = 33,109.86 × 7,282.77
  4. Step 4: Simplify right side
    22,072.56x = 241,131,495.11
  5. Step 5: Solve for x
    x = 241,131,495.11/22,072.56
  6. Step 6: Final answer
    x = 10,924.49

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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.