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Finding the Fourth Proportional to 13,474.10, 20,213.59 and 5,572.32

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Solution

The fourth proportional to 13,474.10, 20,213.59 and 5,572.32 is: 8,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.10 : 20,213.59 = 5,572.32 : x
  2. Step 2: Convert to fraction form
    13,474.10/20,213.59 = 5,572.32/x
  3. Step 3: Cross multiply
    13,474.10x = 20,213.59 × 5,572.32
  4. Step 4: Simplify right side
    13,474.10x = 112,636,591.83
  5. Step 5: Solve for x
    x = 112,636,591.83/13,474.10
  6. Step 6: Final answer
    x = 8,359.49

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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.