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Finding the Fourth Proportional to 22,502.43, 33,758.43 and 7,707.37

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Solution

The fourth proportional to 22,502.43, 33,758.43 and 7,707.37 is: 11,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.43 : 33,758.43 = 7,707.37 : x
  2. Step 2: Convert to fraction form
    22,502.43/33,758.43 = 7,707.37/x
  3. Step 3: Cross multiply
    22,502.43x = 33,758.43 × 7,707.37
  4. Step 4: Simplify right side
    22,502.43x = 260,188,756.49
  5. Step 5: Solve for x
    x = 260,188,756.49/22,502.43
  6. Step 6: Final answer
    x = 11,562.70

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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.