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Finding the Fourth Proportional to 12,023.22, 16,591.50 and 6,717

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Solution

The fourth proportional to 12,023.22, 16,591.50 and 6,717 is: 9,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.22 : 16,591.50 = 6,717 : x
  2. Step 2: Convert to fraction form
    12,023.22/16,591.50 = 6,717/x
  3. Step 3: Cross multiply
    12,023.22x = 16,591.50 × 6,717
  4. Step 4: Simplify right side
    12,023.22x = 111,445,105.50
  5. Step 5: Solve for x
    x = 111,445,105.50/12,023.22
  6. Step 6: Final answer
    x = 9,269.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.