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Finding the Fourth Proportional to 23,035.28, 31,793.04 and 14,425.47

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Solution

The fourth proportional to 23,035.28, 31,793.04 and 14,425.47 is: 19,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,035.28 : 31,793.04 = 14,425.47 : x
  2. Step 2: Convert to fraction form
    23,035.28/31,793.04 = 14,425.47/x
  3. Step 3: Cross multiply
    23,035.28x = 31,793.04 × 14,425.47
  4. Step 4: Simplify right side
    23,035.28x = 458,629,544.73
  5. Step 5: Solve for x
    x = 458,629,544.73/23,035.28
  6. Step 6: Final answer
    x = 19,909.87

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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.