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Finding the Fourth Proportional to 13,357.52, 20,048.44 and 7,122.80

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Solution

The fourth proportional to 13,357.52, 20,048.44 and 7,122.80 is: 10,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.52 : 20,048.44 = 7,122.80 : x
  2. Step 2: Convert to fraction form
    13,357.52/20,048.44 = 7,122.80/x
  3. Step 3: Cross multiply
    13,357.52x = 20,048.44 × 7,122.80
  4. Step 4: Simplify right side
    13,357.52x = 142,801,028.43
  5. Step 5: Solve for x
    x = 142,801,028.43/13,357.52
  6. Step 6: Final answer
    x = 10,690.68

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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.