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Finding the Fourth Proportional to 13,800.96, 20,586.32 and 12,472.16

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Solution

The fourth proportional to 13,800.96, 20,586.32 and 12,472.16 is: 18,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.96 : 20,586.32 = 12,472.16 : x
  2. Step 2: Convert to fraction form
    13,800.96/20,586.32 = 12,472.16/x
  3. Step 3: Cross multiply
    13,800.96x = 20,586.32 × 12,472.16
  4. Step 4: Simplify right side
    13,800.96x = 256,755,876.85
  5. Step 5: Solve for x
    x = 256,755,876.85/13,800.96
  6. Step 6: Final answer
    x = 18,604.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.