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Finding the Fourth Proportional to 12,222.50, 16,868.13 and 7,184.19

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Solution

The fourth proportional to 12,222.50, 16,868.13 and 7,184.19 is: 9,914.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.50 : 16,868.13 = 7,184.19 : x
  2. Step 2: Convert to fraction form
    12,222.50/16,868.13 = 7,184.19/x
  3. Step 3: Cross multiply
    12,222.50x = 16,868.13 × 7,184.19
  4. Step 4: Simplify right side
    12,222.50x = 121,183,850.86
  5. Step 5: Solve for x
    x = 121,183,850.86/12,222.50
  6. Step 6: Final answer
    x = 9,914.82

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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.