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Finding the Fourth Proportional to 12,173.64, 18,268.02 and 7,794.24

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Solution

The fourth proportional to 12,173.64, 18,268.02 and 7,794.24 is: 11,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,173.64 : 18,268.02 = 7,794.24 : x
  2. Step 2: Convert to fraction form
    12,173.64/18,268.02 = 7,794.24/x
  3. Step 3: Cross multiply
    12,173.64x = 18,268.02 × 7,794.24
  4. Step 4: Simplify right side
    12,173.64x = 142,385,332.20
  5. Step 5: Solve for x
    x = 142,385,332.20/12,173.64
  6. Step 6: Final answer
    x = 11,696.20

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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.