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Finding the Fourth Proportional to 20,811.60, 31,189.44 and 7,651.68

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Solution

The fourth proportional to 20,811.60, 31,189.44 and 7,651.68 is: 11,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811.60 : 31,189.44 = 7,651.68 : x
  2. Step 2: Convert to fraction form
    20,811.60/31,189.44 = 7,651.68/x
  3. Step 3: Cross multiply
    20,811.60x = 31,189.44 × 7,651.68
  4. Step 4: Simplify right side
    20,811.60x = 238,651,614.26
  5. Step 5: Solve for x
    x = 238,651,614.26/20,811.60
  6. Step 6: Final answer
    x = 11,467.24

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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.