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Finding the Fourth Proportional to 22,035.80, 30,409.77 and 11,964.24

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Solution

The fourth proportional to 22,035.80, 30,409.77 and 11,964.24 is: 16,510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035.80 : 30,409.77 = 11,964.24 : x
  2. Step 2: Convert to fraction form
    22,035.80/30,409.77 = 11,964.24/x
  3. Step 3: Cross multiply
    22,035.80x = 30,409.77 × 11,964.24
  4. Step 4: Simplify right side
    22,035.80x = 363,829,786.62
  5. Step 5: Solve for x
    x = 363,829,786.62/22,035.80
  6. Step 6: Final answer
    x = 16,510.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.