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Finding the Fourth Proportional to 16,159.61, 24,221.43 and 6,796.82

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Solution

The fourth proportional to 16,159.61, 24,221.43 and 6,796.82 is: 10,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.61 : 24,221.43 = 6,796.82 : x
  2. Step 2: Convert to fraction form
    16,159.61/24,221.43 = 6,796.82/x
  3. Step 3: Cross multiply
    16,159.61x = 24,221.43 × 6,796.82
  4. Step 4: Simplify right side
    16,159.61x = 164,628,578.75
  5. Step 5: Solve for x
    x = 164,628,578.75/16,159.61
  6. Step 6: Final answer
    x = 10,187.66

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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.