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Finding the Fourth Proportional to 13,138.75, 19,697.07 and 6,115.20

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Solution

The fourth proportional to 13,138.75, 19,697.07 and 6,115.20 is: 9,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.75 : 19,697.07 = 6,115.20 : x
  2. Step 2: Convert to fraction form
    13,138.75/19,697.07 = 6,115.20/x
  3. Step 3: Cross multiply
    13,138.75x = 19,697.07 × 6,115.20
  4. Step 4: Simplify right side
    13,138.75x = 120,451,522.46
  5. Step 5: Solve for x
    x = 120,451,522.46/13,138.75
  6. Step 6: Final answer
    x = 9,167.65

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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.