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Finding the Fourth Proportional to 20,823.80, 31,242.90 and 20,103.80

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Solution

The fourth proportional to 20,823.80, 31,242.90 and 20,103.80 is: 30,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.80 : 31,242.90 = 20,103.80 : x
  2. Step 2: Convert to fraction form
    20,823.80/31,242.90 = 20,103.80/x
  3. Step 3: Cross multiply
    20,823.80x = 31,242.90 × 20,103.80
  4. Step 4: Simplify right side
    20,823.80x = 628,101,013.02
  5. Step 5: Solve for x
    x = 628,101,013.02/20,823.80
  6. Step 6: Final answer
    x = 30,162.65

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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.