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Finding the Fourth Proportional to 20,773.41, 31,177.80 and 8,302.19

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Solution

The fourth proportional to 20,773.41, 31,177.80 and 8,302.19 is: 12,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,773.41 : 31,177.80 = 8,302.19 : x
  2. Step 2: Convert to fraction form
    20,773.41/31,177.80 = 8,302.19/x
  3. Step 3: Cross multiply
    20,773.41x = 31,177.80 × 8,302.19
  4. Step 4: Simplify right side
    20,773.41x = 258,843,863.49
  5. Step 5: Solve for x
    x = 258,843,863.49/20,773.41
  6. Step 6: Final answer
    x = 12,460.35

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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.