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Finding the Fourth Proportional to 13,820.26, 20,713.04 and 5,913.50

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Solution

The fourth proportional to 13,820.26, 20,713.04 and 5,913.50 is: 8,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.26 : 20,713.04 = 5,913.50 : x
  2. Step 2: Convert to fraction form
    13,820.26/20,713.04 = 5,913.50/x
  3. Step 3: Cross multiply
    13,820.26x = 20,713.04 × 5,913.50
  4. Step 4: Simplify right side
    13,820.26x = 122,486,562.04
  5. Step 5: Solve for x
    x = 122,486,562.04/13,820.26
  6. Step 6: Final answer
    x = 8,862.83

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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.