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Finding the Fourth Proportional to 30,596.14, 42,222.90 and 17,167.56

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Solution

The fourth proportional to 30,596.14, 42,222.90 and 17,167.56 is: 23,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.14 : 42,222.90 = 17,167.56 : x
  2. Step 2: Convert to fraction form
    30,596.14/42,222.90 = 17,167.56/x
  3. Step 3: Cross multiply
    30,596.14x = 42,222.90 × 17,167.56
  4. Step 4: Simplify right side
    30,596.14x = 724,864,169.12
  5. Step 5: Solve for x
    x = 724,864,169.12/30,596.14
  6. Step 6: Final answer
    x = 23,691.36

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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.