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Finding the Fourth Proportional to 12,831.44, 17,708.84 and 7,242

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Solution

The fourth proportional to 12,831.44, 17,708.84 and 7,242 is: 9,994.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.44 : 17,708.84 = 7,242 : x
  2. Step 2: Convert to fraction form
    12,831.44/17,708.84 = 7,242/x
  3. Step 3: Cross multiply
    12,831.44x = 17,708.84 × 7,242
  4. Step 4: Simplify right side
    12,831.44x = 128,247,419.28
  5. Step 5: Solve for x
    x = 128,247,419.28/12,831.44
  6. Step 6: Final answer
    x = 9,994.78

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