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Finding the Fourth Proportional to 12,174.56, 18,261.84 and 3,854.60

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Solution

The fourth proportional to 12,174.56, 18,261.84 and 3,854.60 is: 5,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.56 : 18,261.84 = 3,854.60 : x
  2. Step 2: Convert to fraction form
    12,174.56/18,261.84 = 3,854.60/x
  3. Step 3: Cross multiply
    12,174.56x = 18,261.84 × 3,854.60
  4. Step 4: Simplify right side
    12,174.56x = 70,392,088.46
  5. Step 5: Solve for x
    x = 70,392,088.46/12,174.56
  6. Step 6: Final answer
    x = 5,781.90

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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.