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Finding the Fourth Proportional to 21,221.61, 31,810.21 and 11,847.88

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Solution

The fourth proportional to 21,221.61, 31,810.21 and 11,847.88 is: 17,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.61 : 31,810.21 = 11,847.88 : x
  2. Step 2: Convert to fraction form
    21,221.61/31,810.21 = 11,847.88/x
  3. Step 3: Cross multiply
    21,221.61x = 31,810.21 × 11,847.88
  4. Step 4: Simplify right side
    21,221.61x = 376,883,550.85
  5. Step 5: Solve for x
    x = 376,883,550.85/21,221.61
  6. Step 6: Final answer
    x = 17,759.42

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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.