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Finding the Fourth Proportional to 13,698.48, 18,911.34 and 9,499.44

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Solution

The fourth proportional to 13,698.48, 18,911.34 and 9,499.44 is: 13,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.48 : 18,911.34 = 9,499.44 : x
  2. Step 2: Convert to fraction form
    13,698.48/18,911.34 = 9,499.44/x
  3. Step 3: Cross multiply
    13,698.48x = 18,911.34 × 9,499.44
  4. Step 4: Simplify right side
    13,698.48x = 179,647,139.65
  5. Step 5: Solve for x
    x = 179,647,139.65/13,698.48
  6. Step 6: Final answer
    x = 13,114.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.