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Finding the Fourth Proportional to 13,473.01, 20,211.77 and 6,077.31

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Solution

The fourth proportional to 13,473.01, 20,211.77 and 6,077.31 is: 9,116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.01 : 20,211.77 = 6,077.31 : x
  2. Step 2: Convert to fraction form
    13,473.01/20,211.77 = 6,077.31/x
  3. Step 3: Cross multiply
    13,473.01x = 20,211.77 × 6,077.31
  4. Step 4: Simplify right side
    13,473.01x = 122,833,191.94
  5. Step 5: Solve for x
    x = 122,833,191.94/13,473.01
  6. Step 6: Final answer
    x = 9,116.98

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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.