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Finding the Fourth Proportional to 13,473.50, 20,212.52 and 6,077.80

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Solution

The fourth proportional to 13,473.50, 20,212.52 and 6,077.80 is: 9,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.50 : 20,212.52 = 6,077.80 : x
  2. Step 2: Convert to fraction form
    13,473.50/20,212.52 = 6,077.80/x
  3. Step 3: Cross multiply
    13,473.50x = 20,212.52 × 6,077.80
  4. Step 4: Simplify right side
    13,473.50x = 122,847,654.06
  5. Step 5: Solve for x
    x = 122,847,654.06/13,473.50
  6. Step 6: Final answer
    x = 9,117.72

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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.