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Finding the Fourth Proportional to 20,723.70, 31,049.10 and 17,005.80

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Solution

The fourth proportional to 20,723.70, 31,049.10 and 17,005.80 is: 25,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,723.70 : 31,049.10 = 17,005.80 : x
  2. Step 2: Convert to fraction form
    20,723.70/31,049.10 = 17,005.80/x
  3. Step 3: Cross multiply
    20,723.70x = 31,049.10 × 17,005.80
  4. Step 4: Simplify right side
    20,723.70x = 528,014,784.78
  5. Step 5: Solve for x
    x = 528,014,784.78/20,723.70
  6. Step 6: Final answer
    x = 25,478.79

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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.