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Finding the Fourth Proportional to 22,502.88, 33,759.11 and 7,707.83

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Solution

The fourth proportional to 22,502.88, 33,759.11 and 7,707.83 is: 11,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.88 : 33,759.11 = 7,707.83 : x
  2. Step 2: Convert to fraction form
    22,502.88/33,759.11 = 7,707.83/x
  3. Step 3: Cross multiply
    22,502.88x = 33,759.11 × 7,707.83
  4. Step 4: Simplify right side
    22,502.88x = 260,209,357.89
  5. Step 5: Solve for x
    x = 260,209,357.89/22,502.88
  6. Step 6: Final answer
    x = 11,563.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.