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Finding the Fourth Proportional to 22,491.86, 33,715.21 and 7,690.65

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Solution

The fourth proportional to 22,491.86, 33,715.21 and 7,690.65 is: 11,528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,491.86 : 33,715.21 = 7,690.65 : x
  2. Step 2: Convert to fraction form
    22,491.86/33,715.21 = 7,690.65/x
  3. Step 3: Cross multiply
    22,491.86x = 33,715.21 × 7,690.65
  4. Step 4: Simplify right side
    22,491.86x = 259,291,944.85
  5. Step 5: Solve for x
    x = 259,291,944.85/22,491.86
  6. Step 6: Final answer
    x = 11,528.26

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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.