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Finding the Fourth Proportional to 30,712.97, 42,383.45 and 17,283.17

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Solution

The fourth proportional to 30,712.97, 42,383.45 and 17,283.17 is: 23,850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.97 : 42,383.45 = 17,283.17 : x
  2. Step 2: Convert to fraction form
    30,712.97/42,383.45 = 17,283.17/x
  3. Step 3: Cross multiply
    30,712.97x = 42,383.45 × 17,283.17
  4. Step 4: Simplify right side
    30,712.97x = 732,520,520.70
  5. Step 5: Solve for x
    x = 732,520,520.70/30,712.97
  6. Step 6: Final answer
    x = 23,850.53

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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.