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Finding the Fourth Proportional to 20,883.12, 31,324.08 and 7,735.20

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Solution

The fourth proportional to 20,883.12, 31,324.08 and 7,735.20 is: 11,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.12 : 31,324.08 = 7,735.20 : x
  2. Step 2: Convert to fraction form
    20,883.12/31,324.08 = 7,735.20/x
  3. Step 3: Cross multiply
    20,883.12x = 31,324.08 × 7,735.20
  4. Step 4: Simplify right side
    20,883.12x = 242,298,023.62
  5. Step 5: Solve for x
    x = 242,298,023.62/20,883.12
  6. Step 6: Final answer
    x = 11,602.58

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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.