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Finding the Fourth Proportional to 16,166.41, 24,259.30 and 6,805.82

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Solution

The fourth proportional to 16,166.41, 24,259.30 and 6,805.82 is: 10,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166.41 : 24,259.30 = 6,805.82 : x
  2. Step 2: Convert to fraction form
    16,166.41/24,259.30 = 6,805.82/x
  3. Step 3: Cross multiply
    16,166.41x = 24,259.30 × 6,805.82
  4. Step 4: Simplify right side
    16,166.41x = 165,104,472.76
  5. Step 5: Solve for x
    x = 165,104,472.76/16,166.41
  6. Step 6: Final answer
    x = 10,212.81

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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.