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Finding the Fourth Proportional to 13,366.50, 20,047.17 and 4,007.70

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Solution

The fourth proportional to 13,366.50, 20,047.17 and 4,007.70 is: 6,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,366.50 : 20,047.17 = 4,007.70 : x
  2. Step 2: Convert to fraction form
    13,366.50/20,047.17 = 4,007.70/x
  3. Step 3: Cross multiply
    13,366.50x = 20,047.17 × 4,007.70
  4. Step 4: Simplify right side
    13,366.50x = 80,343,043.21
  5. Step 5: Solve for x
    x = 80,343,043.21/13,366.50
  6. Step 6: Final answer
    x = 6,010.78

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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.