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Finding the Fourth Proportional to 13,311.96, 19,967.94 and 6,289.66

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Solution

The fourth proportional to 13,311.96, 19,967.94 and 6,289.66 is: 9,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311.96 : 19,967.94 = 6,289.66 : x
  2. Step 2: Convert to fraction form
    13,311.96/19,967.94 = 6,289.66/x
  3. Step 3: Cross multiply
    13,311.96x = 19,967.94 × 6,289.66
  4. Step 4: Simplify right side
    13,311.96x = 125,591,553.50
  5. Step 5: Solve for x
    x = 125,591,553.50/13,311.96
  6. Step 6: Final answer
    x = 9,434.49

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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.