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Finding the Fourth Proportional to 22,831.12, 31,509.90 and 13,400.56

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Solution

The fourth proportional to 22,831.12, 31,509.90 and 13,400.56 is: 18,494.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.12 : 31,509.90 = 13,400.56 : x
  2. Step 2: Convert to fraction form
    22,831.12/31,509.90 = 13,400.56/x
  3. Step 3: Cross multiply
    22,831.12x = 31,509.90 × 13,400.56
  4. Step 4: Simplify right side
    22,831.12x = 422,250,305.54
  5. Step 5: Solve for x
    x = 422,250,305.54/22,831.12
  6. Step 6: Final answer
    x = 18,494.51

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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.