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Finding the Fourth Proportional to 20,971.87, 31,457.74 and 8,491.80

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Solution

The fourth proportional to 20,971.87, 31,457.74 and 8,491.80 is: 12,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,971.87 : 31,457.74 = 8,491.80 : x
  2. Step 2: Convert to fraction form
    20,971.87/31,457.74 = 8,491.80/x
  3. Step 3: Cross multiply
    20,971.87x = 31,457.74 × 8,491.80
  4. Step 4: Simplify right side
    20,971.87x = 267,132,836.53
  5. Step 5: Solve for x
    x = 267,132,836.53/20,971.87
  6. Step 6: Final answer
    x = 12,737.67

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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.