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Finding the Fourth Proportional to 22,507.48, 33,765.32 and 7,717.89

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Solution

The fourth proportional to 22,507.48, 33,765.32 and 7,717.89 is: 11,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.48 : 33,765.32 = 7,717.89 : x
  2. Step 2: Convert to fraction form
    22,507.48/33,765.32 = 7,717.89/x
  3. Step 3: Cross multiply
    22,507.48x = 33,765.32 × 7,717.89
  4. Step 4: Simplify right side
    22,507.48x = 260,597,025.57
  5. Step 5: Solve for x
    x = 260,597,025.57/22,507.48
  6. Step 6: Final answer
    x = 11,578.24

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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.