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Finding the Fourth Proportional to 22,491.68, 33,738.74 and 5,851.76

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Solution

The fourth proportional to 22,491.68, 33,738.74 and 5,851.76 is: 8,777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,491.68 : 33,738.74 = 5,851.76 : x
  2. Step 2: Convert to fraction form
    22,491.68/33,738.74 = 5,851.76/x
  3. Step 3: Cross multiply
    22,491.68x = 33,738.74 × 5,851.76
  4. Step 4: Simplify right side
    22,491.68x = 197,430,855.12
  5. Step 5: Solve for x
    x = 197,430,855.12/22,491.68
  6. Step 6: Final answer
    x = 8,777.95

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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.