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Finding the Fourth Proportional to 20,713.41, 31,044.20 and 16,313.49

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Solution

The fourth proportional to 20,713.41, 31,044.20 and 16,313.49 is: 24,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.41 : 31,044.20 = 16,313.49 : x
  2. Step 2: Convert to fraction form
    20,713.41/31,044.20 = 16,313.49/x
  3. Step 3: Cross multiply
    20,713.41x = 31,044.20 × 16,313.49
  4. Step 4: Simplify right side
    20,713.41x = 506,439,164.69
  5. Step 5: Solve for x
    x = 506,439,164.69/20,713.41
  6. Step 6: Final answer
    x = 24,449.82

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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.