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Finding the Fourth Proportional to 13,069.90, 19,593.82 and 5,668.78

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Solution

The fourth proportional to 13,069.90, 19,593.82 and 5,668.78 is: 8,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,069.90 : 19,593.82 = 5,668.78 : x
  2. Step 2: Convert to fraction form
    13,069.90/19,593.82 = 5,668.78/x
  3. Step 3: Cross multiply
    13,069.90x = 19,593.82 × 5,668.78
  4. Step 4: Simplify right side
    13,069.90x = 111,073,120.83
  5. Step 5: Solve for x
    x = 111,073,120.83/13,069.90
  6. Step 6: Final answer
    x = 8,498.39

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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.