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Finding the Fourth Proportional to 13,753.98, 20,612.49 and 7,504.64

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Solution

The fourth proportional to 13,753.98, 20,612.49 and 7,504.64 is: 11,246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.98 : 20,612.49 = 7,504.64 : x
  2. Step 2: Convert to fraction form
    13,753.98/20,612.49 = 7,504.64/x
  3. Step 3: Cross multiply
    13,753.98x = 20,612.49 × 7,504.64
  4. Step 4: Simplify right side
    13,753.98x = 154,689,213.89
  5. Step 5: Solve for x
    x = 154,689,213.89/13,753.98
  6. Step 6: Final answer
    x = 11,246.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.