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Finding the Fourth Proportional to 25,163.38, 34,722.48 and 13,831.03

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Solution

The fourth proportional to 25,163.38, 34,722.48 and 13,831.03 is: 19,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,163.38 : 34,722.48 = 13,831.03 : x
  2. Step 2: Convert to fraction form
    25,163.38/34,722.48 = 13,831.03/x
  3. Step 3: Cross multiply
    25,163.38x = 34,722.48 × 13,831.03
  4. Step 4: Simplify right side
    25,163.38x = 480,247,662.55
  5. Step 5: Solve for x
    x = 480,247,662.55/25,163.38
  6. Step 6: Final answer
    x = 19,085.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.