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Finding the Fourth Proportional to 12,069.98, 16,657.74 and 6,765.69

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Solution

The fourth proportional to 12,069.98, 16,657.74 and 6,765.69 is: 9,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.98 : 16,657.74 = 6,765.69 : x
  2. Step 2: Convert to fraction form
    12,069.98/16,657.74 = 6,765.69/x
  3. Step 3: Cross multiply
    12,069.98x = 16,657.74 × 6,765.69
  4. Step 4: Simplify right side
    12,069.98x = 112,701,104.94
  5. Step 5: Solve for x
    x = 112,701,104.94/12,069.98
  6. Step 6: Final answer
    x = 9,337.31

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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.