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Finding the Fourth Proportional to 20,575.46, 30,856.82 and 7,426.16

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Solution

The fourth proportional to 20,575.46, 30,856.82 and 7,426.16 is: 11,136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.46 : 30,856.82 = 7,426.16 : x
  2. Step 2: Convert to fraction form
    20,575.46/30,856.82 = 7,426.16/x
  3. Step 3: Cross multiply
    20,575.46x = 30,856.82 × 7,426.16
  4. Step 4: Simplify right side
    20,575.46x = 229,147,682.41
  5. Step 5: Solve for x
    x = 229,147,682.41/20,575.46
  6. Step 6: Final answer
    x = 11,136.94

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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.