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Finding the Fourth Proportional to 22,490.65, 33,741.75 and 7,699.70

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Solution

The fourth proportional to 22,490.65, 33,741.75 and 7,699.70 is: 11,551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,490.65 : 33,741.75 = 7,699.70 : x
  2. Step 2: Convert to fraction form
    22,490.65/33,741.75 = 7,699.70/x
  3. Step 3: Cross multiply
    22,490.65x = 33,741.75 × 7,699.70
  4. Step 4: Simplify right side
    22,490.65x = 259,801,352.48
  5. Step 5: Solve for x
    x = 259,801,352.48/22,490.65
  6. Step 6: Final answer
    x = 11,551.53

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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.