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Finding the Fourth Proportional to 30,658.12, 42,308.14 and 17,229.92

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Solution

The fourth proportional to 30,658.12, 42,308.14 and 17,229.92 is: 23,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.12 : 42,308.14 = 17,229.92 : x
  2. Step 2: Convert to fraction form
    30,658.12/42,308.14 = 17,229.92/x
  3. Step 3: Cross multiply
    30,658.12x = 42,308.14 × 17,229.92
  4. Step 4: Simplify right side
    30,658.12x = 728,965,867.55
  5. Step 5: Solve for x
    x = 728,965,867.55/30,658.12
  6. Step 6: Final answer
    x = 23,777.25

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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.