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Finding the Fourth Proportional to 13,913.24, 20,871.81 and 4,053.24

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Solution

The fourth proportional to 13,913.24, 20,871.81 and 4,053.24 is: 6,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.24 : 20,871.81 = 4,053.24 : x
  2. Step 2: Convert to fraction form
    13,913.24/20,871.81 = 4,053.24/x
  3. Step 3: Cross multiply
    13,913.24x = 20,871.81 × 4,053.24
  4. Step 4: Simplify right side
    13,913.24x = 84,598,455.16
  5. Step 5: Solve for x
    x = 84,598,455.16/13,913.24
  6. Step 6: Final answer
    x = 6,080.43

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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.