Home / 13,831.24-20,749.14-5,078.44

Finding the Fourth Proportional to 13,831.24, 20,749.14 and 5,078.44

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Solution

The fourth proportional to 13,831.24, 20,749.14 and 5,078.44 is: 7,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.24 : 20,749.14 = 5,078.44 : x
  2. Step 2: Convert to fraction form
    13,831.24/20,749.14 = 5,078.44/x
  3. Step 3: Cross multiply
    13,831.24x = 20,749.14 × 5,078.44
  4. Step 4: Simplify right side
    13,831.24x = 105,373,262.54
  5. Step 5: Solve for x
    x = 105,373,262.54/13,831.24
  6. Step 6: Final answer
    x = 7,618.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.