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Finding the Fourth Proportional to 20,697.48, 31,028.58 and 8,214.60

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Solution

The fourth proportional to 20,697.48, 31,028.58 and 8,214.60 is: 12,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.48 : 31,028.58 = 8,214.60 : x
  2. Step 2: Convert to fraction form
    20,697.48/31,028.58 = 8,214.60/x
  3. Step 3: Cross multiply
    20,697.48x = 31,028.58 × 8,214.60
  4. Step 4: Simplify right side
    20,697.48x = 254,887,373.27
  5. Step 5: Solve for x
    x = 254,887,373.27/20,697.48
  6. Step 6: Final answer
    x = 12,314.90

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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.