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Finding the Fourth Proportional to 13,593, 20,387.76 and 5,267.32

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Solution

The fourth proportional to 13,593, 20,387.76 and 5,267.32 is: 7,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,593 : 20,387.76 = 5,267.32 : x
  2. Step 2: Convert to fraction form
    13,593/20,387.76 = 5,267.32/x
  3. Step 3: Cross multiply
    13,593x = 20,387.76 × 5,267.32
  4. Step 4: Simplify right side
    13,593x = 107,388,856.00
  5. Step 5: Solve for x
    x = 107,388,856.00/13,593
  6. Step 6: Final answer
    x = 7,900.31

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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.