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Finding the Fourth Proportional to 12,093.13, 18,139.83 and 6,549.22

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Solution

The fourth proportional to 12,093.13, 18,139.83 and 6,549.22 is: 9,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.13 : 18,139.83 = 6,549.22 : x
  2. Step 2: Convert to fraction form
    12,093.13/18,139.83 = 6,549.22/x
  3. Step 3: Cross multiply
    12,093.13x = 18,139.83 × 6,549.22
  4. Step 4: Simplify right side
    12,093.13x = 118,801,737.43
  5. Step 5: Solve for x
    x = 118,801,737.43/12,093.13
  6. Step 6: Final answer
    x = 9,823.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.