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Finding the Fourth Proportional to 13,885.50, 20,814.20 and 5,114.28

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Solution

The fourth proportional to 13,885.50, 20,814.20 and 5,114.28 is: 7,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.50 : 20,814.20 = 5,114.28 : x
  2. Step 2: Convert to fraction form
    13,885.50/20,814.20 = 5,114.28/x
  3. Step 3: Cross multiply
    13,885.50x = 20,814.20 × 5,114.28
  4. Step 4: Simplify right side
    13,885.50x = 106,449,646.78
  5. Step 5: Solve for x
    x = 106,449,646.78/13,885.50
  6. Step 6: Final answer
    x = 7,666.25

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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.