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Finding the Fourth Proportional to 13,224.90, 19,838.98 and 5,831.22

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Solution

The fourth proportional to 13,224.90, 19,838.98 and 5,831.22 is: 8,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.90 : 19,838.98 = 5,831.22 : x
  2. Step 2: Convert to fraction form
    13,224.90/19,838.98 = 5,831.22/x
  3. Step 3: Cross multiply
    13,224.90x = 19,838.98 × 5,831.22
  4. Step 4: Simplify right side
    13,224.90x = 115,685,456.96
  5. Step 5: Solve for x
    x = 115,685,456.96/13,224.90
  6. Step 6: Final answer
    x = 8,747.55

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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.