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Finding the Fourth Proportional to 12,046.83, 18,064.32 and 7,115.14

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Solution

The fourth proportional to 12,046.83, 18,064.32 and 7,115.14 is: 10,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.83 : 18,064.32 = 7,115.14 : x
  2. Step 2: Convert to fraction form
    12,046.83/18,064.32 = 7,115.14/x
  3. Step 3: Cross multiply
    12,046.83x = 18,064.32 × 7,115.14
  4. Step 4: Simplify right side
    12,046.83x = 128,530,161.70
  5. Step 5: Solve for x
    x = 128,530,161.70/12,046.83
  6. Step 6: Final answer
    x = 10,669.21

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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.