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Finding the Fourth Proportional to 12,486.15, 18,727.20 and 4,165.83

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Solution

The fourth proportional to 12,486.15, 18,727.20 and 4,165.83 is: 6,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.15 : 18,727.20 = 4,165.83 : x
  2. Step 2: Convert to fraction form
    12,486.15/18,727.20 = 4,165.83/x
  3. Step 3: Cross multiply
    12,486.15x = 18,727.20 × 4,165.83
  4. Step 4: Simplify right side
    12,486.15x = 78,014,331.58
  5. Step 5: Solve for x
    x = 78,014,331.58/12,486.15
  6. Step 6: Final answer
    x = 6,248.07

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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.