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Finding the Fourth Proportional to 13,650.97, 20,476.47 and 3,790.25

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Solution

The fourth proportional to 13,650.97, 20,476.47 and 3,790.25 is: 5,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.97 : 20,476.47 = 3,790.25 : x
  2. Step 2: Convert to fraction form
    13,650.97/20,476.47 = 3,790.25/x
  3. Step 3: Cross multiply
    13,650.97x = 20,476.47 × 3,790.25
  4. Step 4: Simplify right side
    13,650.97x = 77,610,984.50
  5. Step 5: Solve for x
    x = 77,610,984.50/13,650.97
  6. Step 6: Final answer
    x = 5,685.38

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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.