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Finding the Fourth Proportional to 12,164.88, 18,258.11 and 6,245.86

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Solution

The fourth proportional to 12,164.88, 18,258.11 and 6,245.86 is: 9,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.88 : 18,258.11 = 6,245.86 : x
  2. Step 2: Convert to fraction form
    12,164.88/18,258.11 = 6,245.86/x
  3. Step 3: Cross multiply
    12,164.88x = 18,258.11 × 6,245.86
  4. Step 4: Simplify right side
    12,164.88x = 114,037,579.71
  5. Step 5: Solve for x
    x = 114,037,579.71/12,164.88
  6. Step 6: Final answer
    x = 9,374.33

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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.