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Finding the Fourth Proportional to 12,184.02, 16,824.18 and 8,218.26

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Solution

The fourth proportional to 12,184.02, 16,824.18 and 8,218.26 is: 11,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.02 : 16,824.18 = 8,218.26 : x
  2. Step 2: Convert to fraction form
    12,184.02/16,824.18 = 8,218.26/x
  3. Step 3: Cross multiply
    12,184.02x = 16,824.18 × 8,218.26
  4. Step 4: Simplify right side
    12,184.02x = 138,265,485.53
  5. Step 5: Solve for x
    x = 138,265,485.53/12,184.02
  6. Step 6: Final answer
    x = 11,348.10

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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.