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Finding the Fourth Proportional to 12,199.59, 16,829.27 and 8,166.59

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Solution

The fourth proportional to 12,199.59, 16,829.27 and 8,166.59 is: 11,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.59 : 16,829.27 = 8,166.59 : x
  2. Step 2: Convert to fraction form
    12,199.59/16,829.27 = 8,166.59/x
  3. Step 3: Cross multiply
    12,199.59x = 16,829.27 × 8,166.59
  4. Step 4: Simplify right side
    12,199.59x = 137,437,623.11
  5. Step 5: Solve for x
    x = 137,437,623.11/12,199.59
  6. Step 6: Final answer
    x = 11,265.76

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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.