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Finding the Fourth Proportional to 13,921.50, 20,829.94 and 9,769.61

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Solution

The fourth proportional to 13,921.50, 20,829.94 and 9,769.61 is: 14,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921.50 : 20,829.94 = 9,769.61 : x
  2. Step 2: Convert to fraction form
    13,921.50/20,829.94 = 9,769.61/x
  3. Step 3: Cross multiply
    13,921.50x = 20,829.94 × 9,769.61
  4. Step 4: Simplify right side
    13,921.50x = 203,500,417.77
  5. Step 5: Solve for x
    x = 203,500,417.77/13,921.50
  6. Step 6: Final answer
    x = 14,617.71

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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.