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Finding the Fourth Proportional to 12,214.99, 16,870.53 and 8,229.19

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Solution

The fourth proportional to 12,214.99, 16,870.53 and 8,229.19 is: 11,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.99 : 16,870.53 = 8,229.19 : x
  2. Step 2: Convert to fraction form
    12,214.99/16,870.53 = 8,229.19/x
  3. Step 3: Cross multiply
    12,214.99x = 16,870.53 × 8,229.19
  4. Step 4: Simplify right side
    12,214.99x = 138,830,796.77
  5. Step 5: Solve for x
    x = 138,830,796.77/12,214.99
  6. Step 6: Final answer
    x = 11,365.61

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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.