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Finding the Fourth Proportional to 29,716.96, 40,996.32 and 17,774.40

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Solution

The fourth proportional to 29,716.96, 40,996.32 and 17,774.40 is: 24,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,716.96 : 40,996.32 = 17,774.40 : x
  2. Step 2: Convert to fraction form
    29,716.96/40,996.32 = 17,774.40/x
  3. Step 3: Cross multiply
    29,716.96x = 40,996.32 × 17,774.40
  4. Step 4: Simplify right side
    29,716.96x = 728,684,990.21
  5. Step 5: Solve for x
    x = 728,684,990.21/29,716.96
  6. Step 6: Final answer
    x = 24,520.85

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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.