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Finding the Fourth Proportional to 12,267.70, 18,383.92 and 6,991.76

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Solution

The fourth proportional to 12,267.70, 18,383.92 and 6,991.76 is: 10,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.70 : 18,383.92 = 6,991.76 : x
  2. Step 2: Convert to fraction form
    12,267.70/18,383.92 = 6,991.76/x
  3. Step 3: Cross multiply
    12,267.70x = 18,383.92 × 6,991.76
  4. Step 4: Simplify right side
    12,267.70x = 128,535,956.50
  5. Step 5: Solve for x
    x = 128,535,956.50/12,267.70
  6. Step 6: Final answer
    x = 10,477.59

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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.