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Finding the Fourth Proportional to 12,831.64, 17,707.38 and 7,166.20

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Solution

The fourth proportional to 12,831.64, 17,707.38 and 7,166.20 is: 9,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.64 : 17,707.38 = 7,166.20 : x
  2. Step 2: Convert to fraction form
    12,831.64/17,707.38 = 7,166.20/x
  3. Step 3: Cross multiply
    12,831.64x = 17,707.38 × 7,166.20
  4. Step 4: Simplify right side
    12,831.64x = 126,894,626.56
  5. Step 5: Solve for x
    x = 126,894,626.56/12,831.64
  6. Step 6: Final answer
    x = 9,889.20

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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.