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Finding the Fourth Proportional to 12,071.82, 16,657.75 and 6,765.87

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Solution

The fourth proportional to 12,071.82, 16,657.75 and 6,765.87 is: 9,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.82 : 16,657.75 = 6,765.87 : x
  2. Step 2: Convert to fraction form
    12,071.82/16,657.75 = 6,765.87/x
  3. Step 3: Cross multiply
    12,071.82x = 16,657.75 × 6,765.87
  4. Step 4: Simplify right side
    12,071.82x = 112,704,170.99
  5. Step 5: Solve for x
    x = 112,704,170.99/12,071.82
  6. Step 6: Final answer
    x = 9,336.14

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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.