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Finding the Fourth Proportional to 12,149.13, 16,765.46 and 6,843.99

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Solution

The fourth proportional to 12,149.13, 16,765.46 and 6,843.99 is: 9,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.13 : 16,765.46 = 6,843.99 : x
  2. Step 2: Convert to fraction form
    12,149.13/16,765.46 = 6,843.99/x
  3. Step 3: Cross multiply
    12,149.13x = 16,765.46 × 6,843.99
  4. Step 4: Simplify right side
    12,149.13x = 114,742,606.37
  5. Step 5: Solve for x
    x = 114,742,606.37/12,149.13
  6. Step 6: Final answer
    x = 9,444.51

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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.