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Finding the Fourth Proportional to 12,149.19, 18,228.78 and 6,595.83

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Solution

The fourth proportional to 12,149.19, 18,228.78 and 6,595.83 is: 9,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.19 : 18,228.78 = 6,595.83 : x
  2. Step 2: Convert to fraction form
    12,149.19/18,228.78 = 6,595.83/x
  3. Step 3: Cross multiply
    12,149.19x = 18,228.78 × 6,595.83
  4. Step 4: Simplify right side
    12,149.19x = 120,233,933.99
  5. Step 5: Solve for x
    x = 120,233,933.99/12,149.19
  6. Step 6: Final answer
    x = 9,896.46

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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.