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Finding the Fourth Proportional to 20,648.25, 30,967.74 and 5,856.84

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Solution

The fourth proportional to 20,648.25, 30,967.74 and 5,856.84 is: 8,783.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,648.25 : 30,967.74 = 5,856.84 : x
  2. Step 2: Convert to fraction form
    20,648.25/30,967.74 = 5,856.84/x
  3. Step 3: Cross multiply
    20,648.25x = 30,967.74 × 5,856.84
  4. Step 4: Simplify right side
    20,648.25x = 181,373,098.34
  5. Step 5: Solve for x
    x = 181,373,098.34/20,648.25
  6. Step 6: Final answer
    x = 8,783.95

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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.