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Finding the Fourth Proportional to 12,174.52, 18,261.48 and 6,662.87

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Solution

The fourth proportional to 12,174.52, 18,261.48 and 6,662.87 is: 9,994.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.52 : 18,261.48 = 6,662.87 : x
  2. Step 2: Convert to fraction form
    12,174.52/18,261.48 = 6,662.87/x
  3. Step 3: Cross multiply
    12,174.52x = 18,261.48 × 6,662.87
  4. Step 4: Simplify right side
    12,174.52x = 121,673,867.25
  5. Step 5: Solve for x
    x = 121,673,867.25/12,174.52
  6. Step 6: Final answer
    x = 9,994.14

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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.