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Finding the Fourth Proportional to 12,181.32, 16,811.87 and 7,146.77

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Solution

The fourth proportional to 12,181.32, 16,811.87 and 7,146.77 is: 9,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.32 : 16,811.87 = 7,146.77 : x
  2. Step 2: Convert to fraction form
    12,181.32/16,811.87 = 7,146.77/x
  3. Step 3: Cross multiply
    12,181.32x = 16,811.87 × 7,146.77
  4. Step 4: Simplify right side
    12,181.32x = 120,150,448.37
  5. Step 5: Solve for x
    x = 120,150,448.37/12,181.32
  6. Step 6: Final answer
    x = 9,863.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.