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Finding the Fourth Proportional to 12,176.89, 18,258.39 and 3,859

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Solution

The fourth proportional to 12,176.89, 18,258.39 and 3,859 is: 5,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.89 : 18,258.39 = 3,859 : x
  2. Step 2: Convert to fraction form
    12,176.89/18,258.39 = 3,859/x
  3. Step 3: Cross multiply
    12,176.89x = 18,258.39 × 3,859
  4. Step 4: Simplify right side
    12,176.89x = 70,459,127.01
  5. Step 5: Solve for x
    x = 70,459,127.01/12,176.89
  6. Step 6: Final answer
    x = 5,786.30

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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.