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Finding the Fourth Proportional to 30,713.30, 42,380.87 and 17,284.20

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Solution

The fourth proportional to 30,713.30, 42,380.87 and 17,284.20 is: 23,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,713.30 : 42,380.87 = 17,284.20 : x
  2. Step 2: Convert to fraction form
    30,713.30/42,380.87 = 17,284.20/x
  3. Step 3: Cross multiply
    30,713.30x = 42,380.87 × 17,284.20
  4. Step 4: Simplify right side
    30,713.30x = 732,519,346.83
  5. Step 5: Solve for x
    x = 732,519,346.83/30,713.30
  6. Step 6: Final answer
    x = 23,850.24

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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.