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Finding the Fourth Proportional to 20,679.48, 31,029.47 and 8,199.23

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Solution

The fourth proportional to 20,679.48, 31,029.47 and 8,199.23 is: 12,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,679.48 : 31,029.47 = 8,199.23 : x
  2. Step 2: Convert to fraction form
    20,679.48/31,029.47 = 8,199.23/x
  3. Step 3: Cross multiply
    20,679.48x = 31,029.47 × 8,199.23
  4. Step 4: Simplify right side
    20,679.48x = 254,417,565.16
  5. Step 5: Solve for x
    x = 254,417,565.16/20,679.48
  6. Step 6: Final answer
    x = 12,302.90

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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.