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Finding the Fourth Proportional to 12,170.77, 18,258.03 and 5,150.82

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Solution

The fourth proportional to 12,170.77, 18,258.03 and 5,150.82 is: 7,727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.77 : 18,258.03 = 5,150.82 : x
  2. Step 2: Convert to fraction form
    12,170.77/18,258.03 = 5,150.82/x
  3. Step 3: Cross multiply
    12,170.77x = 18,258.03 × 5,150.82
  4. Step 4: Simplify right side
    12,170.77x = 94,043,826.08
  5. Step 5: Solve for x
    x = 94,043,826.08/12,170.77
  6. Step 6: Final answer
    x = 7,727.02

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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.