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Finding the Fourth Proportional to 17,380.67, 23,972.58 and 11,410.16

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Solution

The fourth proportional to 17,380.67, 23,972.58 and 11,410.16 is: 15,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,380.67 : 23,972.58 = 11,410.16 : x
  2. Step 2: Convert to fraction form
    17,380.67/23,972.58 = 11,410.16/x
  3. Step 3: Cross multiply
    17,380.67x = 23,972.58 × 11,410.16
  4. Step 4: Simplify right side
    17,380.67x = 273,530,973.41
  5. Step 5: Solve for x
    x = 273,530,973.41/17,380.67
  6. Step 6: Final answer
    x = 15,737.65

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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.