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Finding the Fourth Proportional to 14,738.92, 20,345.98 and 8,771.14

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Solution

The fourth proportional to 14,738.92, 20,345.98 and 8,771.14 is: 12,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738.92 : 20,345.98 = 8,771.14 : x
  2. Step 2: Convert to fraction form
    14,738.92/20,345.98 = 8,771.14/x
  3. Step 3: Cross multiply
    14,738.92x = 20,345.98 × 8,771.14
  4. Step 4: Simplify right side
    14,738.92x = 178,457,439.02
  5. Step 5: Solve for x
    x = 178,457,439.02/14,738.92
  6. Step 6: Final answer
    x = 12,107.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.