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Finding the Fourth Proportional to 13,640.76, 20,457.10 and 5,847.72

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Solution

The fourth proportional to 13,640.76, 20,457.10 and 5,847.72 is: 8,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.76 : 20,457.10 = 5,847.72 : x
  2. Step 2: Convert to fraction form
    13,640.76/20,457.10 = 5,847.72/x
  3. Step 3: Cross multiply
    13,640.76x = 20,457.10 × 5,847.72
  4. Step 4: Simplify right side
    13,640.76x = 119,627,392.81
  5. Step 5: Solve for x
    x = 119,627,392.81/13,640.76
  6. Step 6: Final answer
    x = 8,769.85

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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.