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Finding the Fourth Proportional to 13,107.20, 19,668 and 6,181.52

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Solution

The fourth proportional to 13,107.20, 19,668 and 6,181.52 is: 9,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.20 : 19,668 = 6,181.52 : x
  2. Step 2: Convert to fraction form
    13,107.20/19,668 = 6,181.52/x
  3. Step 3: Cross multiply
    13,107.20x = 19,668 × 6,181.52
  4. Step 4: Simplify right side
    13,107.20x = 121,578,135.36
  5. Step 5: Solve for x
    x = 121,578,135.36/13,107.20
  6. Step 6: Final answer
    x = 9,275.68

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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.