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Finding the Fourth Proportional to 13,534.70, 20,253.99 and 8,267.90

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Solution

The fourth proportional to 13,534.70, 20,253.99 and 8,267.90 is: 12,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.70 : 20,253.99 = 8,267.90 : x
  2. Step 2: Convert to fraction form
    13,534.70/20,253.99 = 8,267.90/x
  3. Step 3: Cross multiply
    13,534.70x = 20,253.99 × 8,267.90
  4. Step 4: Simplify right side
    13,534.70x = 167,457,963.92
  5. Step 5: Solve for x
    x = 167,457,963.92/13,534.70
  6. Step 6: Final answer
    x = 12,372.49

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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.