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Finding the Fourth Proportional to 13,913.73, 20,874.03 and 4,053.09

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Solution

The fourth proportional to 13,913.73, 20,874.03 and 4,053.09 is: 6,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.73 : 20,874.03 = 4,053.09 : x
  2. Step 2: Convert to fraction form
    13,913.73/20,874.03 = 4,053.09/x
  3. Step 3: Cross multiply
    13,913.73x = 20,874.03 × 4,053.09
  4. Step 4: Simplify right side
    13,913.73x = 84,604,322.25
  5. Step 5: Solve for x
    x = 84,604,322.25/13,913.73
  6. Step 6: Final answer
    x = 6,080.64

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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.