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Finding the Fourth Proportional to 20,856.23, 31,293.01 and 8,385.09

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Solution

The fourth proportional to 20,856.23, 31,293.01 and 8,385.09 is: 12,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,856.23 : 31,293.01 = 8,385.09 : x
  2. Step 2: Convert to fraction form
    20,856.23/31,293.01 = 8,385.09/x
  3. Step 3: Cross multiply
    20,856.23x = 31,293.01 × 8,385.09
  4. Step 4: Simplify right side
    20,856.23x = 262,394,838.81
  5. Step 5: Solve for x
    x = 262,394,838.81/20,856.23
  6. Step 6: Final answer
    x = 12,581.12

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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.