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Finding the Fourth Proportional to 13,698.90, 20,556.45 and 9,991.80

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Solution

The fourth proportional to 13,698.90, 20,556.45 and 9,991.80 is: 14,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.90 : 20,556.45 = 9,991.80 : x
  2. Step 2: Convert to fraction form
    13,698.90/20,556.45 = 9,991.80/x
  3. Step 3: Cross multiply
    13,698.90x = 20,556.45 × 9,991.80
  4. Step 4: Simplify right side
    13,698.90x = 205,395,937.11
  5. Step 5: Solve for x
    x = 205,395,937.11/13,698.90
  6. Step 6: Final answer
    x = 14,993.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.