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Finding the Fourth Proportional to 12,177.22, 18,242.16 and 8,004.64

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Solution

The fourth proportional to 12,177.22, 18,242.16 and 8,004.64 is: 11,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.22 : 18,242.16 = 8,004.64 : x
  2. Step 2: Convert to fraction form
    12,177.22/18,242.16 = 8,004.64/x
  3. Step 3: Cross multiply
    12,177.22x = 18,242.16 × 8,004.64
  4. Step 4: Simplify right side
    12,177.22x = 146,021,923.62
  5. Step 5: Solve for x
    x = 146,021,923.62/12,177.22
  6. Step 6: Final answer
    x = 11,991.40

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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.