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Finding the Fourth Proportional to 24,190.66, 36,274.24 and 9,200.40

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Solution

The fourth proportional to 24,190.66, 36,274.24 and 9,200.40 is: 13,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,190.66 : 36,274.24 = 9,200.40 : x
  2. Step 2: Convert to fraction form
    24,190.66/36,274.24 = 9,200.40/x
  3. Step 3: Cross multiply
    24,190.66x = 36,274.24 × 9,200.40
  4. Step 4: Simplify right side
    24,190.66x = 333,737,517.70
  5. Step 5: Solve for x
    x = 333,737,517.70/24,190.66
  6. Step 6: Final answer
    x = 13,796.13

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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.