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Finding the Fourth Proportional to 12,189.18, 16,820.85 and 6,883.88

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Solution

The fourth proportional to 12,189.18, 16,820.85 and 6,883.88 is: 9,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.18 : 16,820.85 = 6,883.88 : x
  2. Step 2: Convert to fraction form
    12,189.18/16,820.85 = 6,883.88/x
  3. Step 3: Cross multiply
    12,189.18x = 16,820.85 × 6,883.88
  4. Step 4: Simplify right side
    12,189.18x = 115,792,678.48
  5. Step 5: Solve for x
    x = 115,792,678.48/12,189.18
  6. Step 6: Final answer
    x = 9,499.63

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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.