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Finding the Fourth Proportional to 20,291.82, 30,411.36 and 8,269.94

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Solution

The fourth proportional to 20,291.82, 30,411.36 and 8,269.94 is: 12,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,291.82 : 30,411.36 = 8,269.94 : x
  2. Step 2: Convert to fraction form
    20,291.82/30,411.36 = 8,269.94/x
  3. Step 3: Cross multiply
    20,291.82x = 30,411.36 × 8,269.94
  4. Step 4: Simplify right side
    20,291.82x = 251,499,970.46
  5. Step 5: Solve for x
    x = 251,499,970.46/20,291.82
  6. Step 6: Final answer
    x = 12,394.16

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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.