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Finding the Fourth Proportional to 13,093.20, 19,647 and 6,167.52

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Solution

The fourth proportional to 13,093.20, 19,647 and 6,167.52 is: 9,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.20 : 19,647 = 6,167.52 : x
  2. Step 2: Convert to fraction form
    13,093.20/19,647 = 6,167.52/x
  3. Step 3: Cross multiply
    13,093.20x = 19,647 × 6,167.52
  4. Step 4: Simplify right side
    13,093.20x = 121,173,265.44
  5. Step 5: Solve for x
    x = 121,173,265.44/13,093.20
  6. Step 6: Final answer
    x = 9,254.67

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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.