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Finding the Fourth Proportional to 17,157.96, 23,671.04 and 10,438.20

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Solution

The fourth proportional to 17,157.96, 23,671.04 and 10,438.20 is: 14,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,157.96 : 23,671.04 = 10,438.20 : x
  2. Step 2: Convert to fraction form
    17,157.96/23,671.04 = 10,438.20/x
  3. Step 3: Cross multiply
    17,157.96x = 23,671.04 × 10,438.20
  4. Step 4: Simplify right side
    17,157.96x = 247,082,997.54
  5. Step 5: Solve for x
    x = 247,082,997.54/17,157.96
  6. Step 6: Final answer
    x = 14,400.49

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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.