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Finding the Fourth Proportional to 22,296.57, 33,449.79 and 7,505

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Solution

The fourth proportional to 22,296.57, 33,449.79 and 7,505 is: 11,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.57 : 33,449.79 = 7,505 : x
  2. Step 2: Convert to fraction form
    22,296.57/33,449.79 = 7,505/x
  3. Step 3: Cross multiply
    22,296.57x = 33,449.79 × 7,505
  4. Step 4: Simplify right side
    22,296.57x = 251,040,636.43
  5. Step 5: Solve for x
    x = 251,040,636.43/22,296.57
  6. Step 6: Final answer
    x = 11,259.16

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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.