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Finding the Fourth Proportional to 14,614.62, 20,168.37 and 8,646.14

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Solution

The fourth proportional to 14,614.62, 20,168.37 and 8,646.14 is: 11,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.62 : 20,168.37 = 8,646.14 : x
  2. Step 2: Convert to fraction form
    14,614.62/20,168.37 = 8,646.14/x
  3. Step 3: Cross multiply
    14,614.62x = 20,168.37 × 8,646.14
  4. Step 4: Simplify right side
    14,614.62x = 174,378,449.75
  5. Step 5: Solve for x
    x = 174,378,449.75/14,614.62
  6. Step 6: Final answer
    x = 11,931.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.