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Finding the Fourth Proportional to 30,826.11, 42,540.03 and 16,678.95

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Solution

The fourth proportional to 30,826.11, 42,540.03 and 16,678.95 is: 23,016.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,826.11 : 42,540.03 = 16,678.95 : x
  2. Step 2: Convert to fraction form
    30,826.11/42,540.03 = 16,678.95/x
  3. Step 3: Cross multiply
    30,826.11x = 42,540.03 × 16,678.95
  4. Step 4: Simplify right side
    30,826.11x = 709,523,033.37
  5. Step 5: Solve for x
    x = 709,523,033.37/30,826.11
  6. Step 6: Final answer
    x = 23,016.95

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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.