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Finding the Fourth Proportional to 13,818.58, 20,727.87 and 3,430.33

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Solution

The fourth proportional to 13,818.58, 20,727.87 and 3,430.33 is: 5,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.58 : 20,727.87 = 3,430.33 : x
  2. Step 2: Convert to fraction form
    13,818.58/20,727.87 = 3,430.33/x
  3. Step 3: Cross multiply
    13,818.58x = 20,727.87 × 3,430.33
  4. Step 4: Simplify right side
    13,818.58x = 71,103,369.61
  5. Step 5: Solve for x
    x = 71,103,369.61/13,818.58
  6. Step 6: Final answer
    x = 5,145.49

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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.