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Finding the Fourth Proportional to 13,902.20, 20,854.45 and 4,041.47

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Solution

The fourth proportional to 13,902.20, 20,854.45 and 4,041.47 is: 6,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.20 : 20,854.45 = 4,041.47 : x
  2. Step 2: Convert to fraction form
    13,902.20/20,854.45 = 4,041.47/x
  3. Step 3: Cross multiply
    13,902.20x = 20,854.45 × 4,041.47
  4. Step 4: Simplify right side
    13,902.20x = 84,282,668.50
  5. Step 5: Solve for x
    x = 84,282,668.50/13,902.20
  6. Step 6: Final answer
    x = 6,062.54

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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.