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Finding the Fourth Proportional to 13,438.68, 20,166.10 and 4,679.74

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Solution

The fourth proportional to 13,438.68, 20,166.10 and 4,679.74 is: 7,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.68 : 20,166.10 = 4,679.74 : x
  2. Step 2: Convert to fraction form
    13,438.68/20,166.10 = 4,679.74/x
  3. Step 3: Cross multiply
    13,438.68x = 20,166.10 × 4,679.74
  4. Step 4: Simplify right side
    13,438.68x = 94,372,118.32
  5. Step 5: Solve for x
    x = 94,372,118.32/13,438.68
  6. Step 6: Final answer
    x = 7,022.43

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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.