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Finding the Fourth Proportional to 20,298.51, 30,439.92 and 8,123.13

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Solution

The fourth proportional to 20,298.51, 30,439.92 and 8,123.13 is: 12,181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.51 : 30,439.92 = 8,123.13 : x
  2. Step 2: Convert to fraction form
    20,298.51/30,439.92 = 8,123.13/x
  3. Step 3: Cross multiply
    20,298.51x = 30,439.92 × 8,123.13
  4. Step 4: Simplify right side
    20,298.51x = 247,267,427.35
  5. Step 5: Solve for x
    x = 247,267,427.35/20,298.51
  6. Step 6: Final answer
    x = 12,181.56

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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.