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Finding the Fourth Proportional to 19,783.49, 27,301.22 and 10,831.57

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Solution

The fourth proportional to 19,783.49, 27,301.22 and 10,831.57 is: 14,947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.49 : 27,301.22 = 10,831.57 : x
  2. Step 2: Convert to fraction form
    19,783.49/27,301.22 = 10,831.57/x
  3. Step 3: Cross multiply
    19,783.49x = 27,301.22 × 10,831.57
  4. Step 4: Simplify right side
    19,783.49x = 295,714,884.85
  5. Step 5: Solve for x
    x = 295,714,884.85/19,783.49
  6. Step 6: Final answer
    x = 14,947.56

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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.