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Finding the Fourth Proportional to 17,611.60, 24,308.04 and 12,022

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Solution

The fourth proportional to 17,611.60, 24,308.04 and 12,022 is: 16,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,611.60 : 24,308.04 = 12,022 : x
  2. Step 2: Convert to fraction form
    17,611.60/24,308.04 = 12,022/x
  3. Step 3: Cross multiply
    17,611.60x = 24,308.04 × 12,022
  4. Step 4: Simplify right side
    17,611.60x = 292,231,256.88
  5. Step 5: Solve for x
    x = 292,231,256.88/17,611.60
  6. Step 6: Final answer
    x = 16,593.11

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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.