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Finding the Fourth Proportional to 13,472.50, 20,211.02 and 6,076.80

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Solution

The fourth proportional to 13,472.50, 20,211.02 and 6,076.80 is: 9,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,472.50 : 20,211.02 = 6,076.80 : x
  2. Step 2: Convert to fraction form
    13,472.50/20,211.02 = 6,076.80/x
  3. Step 3: Cross multiply
    13,472.50x = 20,211.02 × 6,076.80
  4. Step 4: Simplify right side
    13,472.50x = 122,818,326.34
  5. Step 5: Solve for x
    x = 122,818,326.34/13,472.50
  6. Step 6: Final answer
    x = 9,116.22

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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.