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Finding the Fourth Proportional to 12,421.71, 18,635.67 and 3,656.61

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Solution

The fourth proportional to 12,421.71, 18,635.67 and 3,656.61 is: 5,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.71 : 18,635.67 = 3,656.61 : x
  2. Step 2: Convert to fraction form
    12,421.71/18,635.67 = 3,656.61/x
  3. Step 3: Cross multiply
    12,421.71x = 18,635.67 × 3,656.61
  4. Step 4: Simplify right side
    12,421.71x = 68,143,377.28
  5. Step 5: Solve for x
    x = 68,143,377.28/12,421.71
  6. Step 6: Final answer
    x = 5,485.83

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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.