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Finding the Fourth Proportional to 12,188.31, 16,820.88 and 6,884.10

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Solution

The fourth proportional to 12,188.31, 16,820.88 and 6,884.10 is: 9,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.31 : 16,820.88 = 6,884.10 : x
  2. Step 2: Convert to fraction form
    12,188.31/16,820.88 = 6,884.10/x
  3. Step 3: Cross multiply
    12,188.31x = 16,820.88 × 6,884.10
  4. Step 4: Simplify right side
    12,188.31x = 115,796,620.01
  5. Step 5: Solve for x
    x = 115,796,620.01/12,188.31
  6. Step 6: Final answer
    x = 9,500.63

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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.