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Finding the Fourth Proportional to 20,317.44, 30,468.12 and 7,830.60

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Solution

The fourth proportional to 20,317.44, 30,468.12 and 7,830.60 is: 11,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,317.44 : 30,468.12 = 7,830.60 : x
  2. Step 2: Convert to fraction form
    20,317.44/30,468.12 = 7,830.60/x
  3. Step 3: Cross multiply
    20,317.44x = 30,468.12 × 7,830.60
  4. Step 4: Simplify right side
    20,317.44x = 238,583,660.47
  5. Step 5: Solve for x
    x = 238,583,660.47/20,317.44
  6. Step 6: Final answer
    x = 11,742.80

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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.