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Finding the Fourth Proportional to 30,574.70, 42,193.22 and 17,836.69

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Solution

The fourth proportional to 30,574.70, 42,193.22 and 17,836.69 is: 24,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.70 : 42,193.22 = 17,836.69 : x
  2. Step 2: Convert to fraction form
    30,574.70/42,193.22 = 17,836.69/x
  3. Step 3: Cross multiply
    30,574.70x = 42,193.22 × 17,836.69
  4. Step 4: Simplify right side
    30,574.70x = 752,587,385.24
  5. Step 5: Solve for x
    x = 752,587,385.24/30,574.70
  6. Step 6: Final answer
    x = 24,614.71

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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.