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Finding the Fourth Proportional to 12,831.23, 19,253.23 and 7,205.41

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Solution

The fourth proportional to 12,831.23, 19,253.23 and 7,205.41 is: 10,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.23 : 19,253.23 = 7,205.41 : x
  2. Step 2: Convert to fraction form
    12,831.23/19,253.23 = 7,205.41/x
  3. Step 3: Cross multiply
    12,831.23x = 19,253.23 × 7,205.41
  4. Step 4: Simplify right side
    12,831.23x = 138,727,415.97
  5. Step 5: Solve for x
    x = 138,727,415.97/12,831.23
  6. Step 6: Final answer
    x = 10,811.70

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