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Finding the Fourth Proportional to 12,070.45, 16,657.86 and 6,766.96

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Solution

The fourth proportional to 12,070.45, 16,657.86 and 6,766.96 is: 9,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070.45 : 16,657.86 = 6,766.96 : x
  2. Step 2: Convert to fraction form
    12,070.45/16,657.86 = 6,766.96/x
  3. Step 3: Cross multiply
    12,070.45x = 16,657.86 × 6,766.96
  4. Step 4: Simplify right side
    12,070.45x = 112,723,072.31
  5. Step 5: Solve for x
    x = 112,723,072.31/12,070.45
  6. Step 6: Final answer
    x = 9,338.76

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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.