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Finding the Fourth Proportional to 22,424.50, 33,637.58 and 7,631.57

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Solution

The fourth proportional to 22,424.50, 33,637.58 and 7,631.57 is: 11,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.50 : 33,637.58 = 7,631.57 : x
  2. Step 2: Convert to fraction form
    22,424.50/33,637.58 = 7,631.57/x
  3. Step 3: Cross multiply
    22,424.50x = 33,637.58 × 7,631.57
  4. Step 4: Simplify right side
    22,424.50x = 256,707,431.74
  5. Step 5: Solve for x
    x = 256,707,431.74/22,424.50
  6. Step 6: Final answer
    x = 11,447.63

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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.