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Finding the Fourth Proportional to 13,902.69, 20,801.71 and 9,750.80

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Solution

The fourth proportional to 13,902.69, 20,801.71 and 9,750.80 is: 14,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.69 : 20,801.71 = 9,750.80 : x
  2. Step 2: Convert to fraction form
    13,902.69/20,801.71 = 9,750.80/x
  3. Step 3: Cross multiply
    13,902.69x = 20,801.71 × 9,750.80
  4. Step 4: Simplify right side
    13,902.69x = 202,833,313.87
  5. Step 5: Solve for x
    x = 202,833,313.87/13,902.69
  6. Step 6: Final answer
    x = 14,589.50

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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.