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Finding the Fourth Proportional to 12,831.98, 17,712.84 and 7,531.24

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Solution

The fourth proportional to 12,831.98, 17,712.84 and 7,531.24 is: 10,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.98 : 17,712.84 = 7,531.24 : x
  2. Step 2: Convert to fraction form
    12,831.98/17,712.84 = 7,531.24/x
  3. Step 3: Cross multiply
    12,831.98x = 17,712.84 × 7,531.24
  4. Step 4: Simplify right side
    12,831.98x = 133,399,649.12
  5. Step 5: Solve for x
    x = 133,399,649.12/12,831.98
  6. Step 6: Final answer
    x = 10,395.87

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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.