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Finding the Fourth Proportional to 13,762.73, 20,645.13 and 3,902.81

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Solution

The fourth proportional to 13,762.73, 20,645.13 and 3,902.81 is: 5,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.73 : 20,645.13 = 3,902.81 : x
  2. Step 2: Convert to fraction form
    13,762.73/20,645.13 = 3,902.81/x
  3. Step 3: Cross multiply
    13,762.73x = 20,645.13 × 3,902.81
  4. Step 4: Simplify right side
    13,762.73x = 80,573,962.62
  5. Step 5: Solve for x
    x = 80,573,962.62/13,762.73
  6. Step 6: Final answer
    x = 5,854.50

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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.