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Finding the Fourth Proportional to 13,115.99, 19,682.19 and 5,324.80

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Solution

The fourth proportional to 13,115.99, 19,682.19 and 5,324.80 is: 7,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.99 : 19,682.19 = 5,324.80 : x
  2. Step 2: Convert to fraction form
    13,115.99/19,682.19 = 5,324.80/x
  3. Step 3: Cross multiply
    13,115.99x = 19,682.19 × 5,324.80
  4. Step 4: Simplify right side
    13,115.99x = 104,803,725.31
  5. Step 5: Solve for x
    x = 104,803,725.31/13,115.99
  6. Step 6: Final answer
    x = 7,990.53

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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.