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Finding the Fourth Proportional to 13,005.99, 19,512.63 and 5,220.27

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Solution

The fourth proportional to 13,005.99, 19,512.63 and 5,220.27 is: 7,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.99 : 19,512.63 = 5,220.27 : x
  2. Step 2: Convert to fraction form
    13,005.99/19,512.63 = 5,220.27/x
  3. Step 3: Cross multiply
    13,005.99x = 19,512.63 × 5,220.27
  4. Step 4: Simplify right side
    13,005.99x = 101,861,197.01
  5. Step 5: Solve for x
    x = 101,861,197.01/13,005.99
  6. Step 6: Final answer
    x = 7,831.87

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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.