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Finding the Fourth Proportional to 22,971.60, 34,431.80 and 13,115.60

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Solution

The fourth proportional to 22,971.60, 34,431.80 and 13,115.60 is: 19,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.60 : 34,431.80 = 13,115.60 : x
  2. Step 2: Convert to fraction form
    22,971.60/34,431.80 = 13,115.60/x
  3. Step 3: Cross multiply
    22,971.60x = 34,431.80 × 13,115.60
  4. Step 4: Simplify right side
    22,971.60x = 451,593,716.08
  5. Step 5: Solve for x
    x = 451,593,716.08/22,971.60
  6. Step 6: Final answer
    x = 19,658.78

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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.