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Finding the Fourth Proportional to 30,667.77, 42,321.92 and 17,238.24

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Solution

The fourth proportional to 30,667.77, 42,321.92 and 17,238.24 is: 23,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,667.77 : 42,321.92 = 17,238.24 : x
  2. Step 2: Convert to fraction form
    30,667.77/42,321.92 = 17,238.24/x
  3. Step 3: Cross multiply
    30,667.77x = 42,321.92 × 17,238.24
  4. Step 4: Simplify right side
    30,667.77x = 729,555,328.03
  5. Step 5: Solve for x
    x = 729,555,328.03/30,667.77
  6. Step 6: Final answer
    x = 23,788.99

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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.