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Finding the Fourth Proportional to 12,171.68, 18,254.16 and 3,405.92

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Solution

The fourth proportional to 12,171.68, 18,254.16 and 3,405.92 is: 5,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.68 : 18,254.16 = 3,405.92 : x
  2. Step 2: Convert to fraction form
    12,171.68/18,254.16 = 3,405.92/x
  3. Step 3: Cross multiply
    12,171.68x = 18,254.16 × 3,405.92
  4. Step 4: Simplify right side
    12,171.68x = 62,172,208.63
  5. Step 5: Solve for x
    x = 62,172,208.63/12,171.68
  6. Step 6: Final answer
    x = 5,107.94

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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.