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Finding the Fourth Proportional to 20,142.25, 30,214.13 and 7,659.95

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Solution

The fourth proportional to 20,142.25, 30,214.13 and 7,659.95 is: 11,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.25 : 30,214.13 = 7,659.95 : x
  2. Step 2: Convert to fraction form
    20,142.25/30,214.13 = 7,659.95/x
  3. Step 3: Cross multiply
    20,142.25x = 30,214.13 × 7,659.95
  4. Step 4: Simplify right side
    20,142.25x = 231,438,574.02
  5. Step 5: Solve for x
    x = 231,438,574.02/20,142.25
  6. Step 6: Final answer
    x = 11,490.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.