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Finding the Fourth Proportional to 12,564.30, 18,846.18 and 3,799.92

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Solution

The fourth proportional to 12,564.30, 18,846.18 and 3,799.92 is: 5,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.30 : 18,846.18 = 3,799.92 : x
  2. Step 2: Convert to fraction form
    12,564.30/18,846.18 = 3,799.92/x
  3. Step 3: Cross multiply
    12,564.30x = 18,846.18 × 3,799.92
  4. Step 4: Simplify right side
    12,564.30x = 71,613,976.31
  5. Step 5: Solve for x
    x = 71,613,976.31/12,564.30
  6. Step 6: Final answer
    x = 5,699.80

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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.