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Finding the Fourth Proportional to 13,518.99, 20,273.31 and 6,494.60

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Solution

The fourth proportional to 13,518.99, 20,273.31 and 6,494.60 is: 9,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.99 : 20,273.31 = 6,494.60 : x
  2. Step 2: Convert to fraction form
    13,518.99/20,273.31 = 6,494.60/x
  3. Step 3: Cross multiply
    13,518.99x = 20,273.31 × 6,494.60
  4. Step 4: Simplify right side
    13,518.99x = 131,666,937.76
  5. Step 5: Solve for x
    x = 131,666,937.76/13,518.99
  6. Step 6: Final answer
    x = 9,739.41

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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.