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Finding the Fourth Proportional to 13,635.68, 20,446.22 and 4,865.81

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Solution

The fourth proportional to 13,635.68, 20,446.22 and 4,865.81 is: 7,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.68 : 20,446.22 = 4,865.81 : x
  2. Step 2: Convert to fraction form
    13,635.68/20,446.22 = 4,865.81/x
  3. Step 3: Cross multiply
    13,635.68x = 20,446.22 × 4,865.81
  4. Step 4: Simplify right side
    13,635.68x = 99,487,331.67
  5. Step 5: Solve for x
    x = 99,487,331.67/13,635.68
  6. Step 6: Final answer
    x = 7,296.11

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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.