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Finding the Fourth Proportional to 20,962.96, 31,453.74 and 8,491.90

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Solution

The fourth proportional to 20,962.96, 31,453.74 and 8,491.90 is: 12,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,962.96 : 31,453.74 = 8,491.90 : x
  2. Step 2: Convert to fraction form
    20,962.96/31,453.74 = 8,491.90/x
  3. Step 3: Cross multiply
    20,962.96x = 31,453.74 × 8,491.90
  4. Step 4: Simplify right side
    20,962.96x = 267,102,014.71
  5. Step 5: Solve for x
    x = 267,102,014.71/20,962.96
  6. Step 6: Final answer
    x = 12,741.62

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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.