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Finding the Fourth Proportional to 22,626.52, 33,933.16 and 7,831.60

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Solution

The fourth proportional to 22,626.52, 33,933.16 and 7,831.60 is: 11,745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.52 : 33,933.16 = 7,831.60 : x
  2. Step 2: Convert to fraction form
    22,626.52/33,933.16 = 7,831.60/x
  3. Step 3: Cross multiply
    22,626.52x = 33,933.16 × 7,831.60
  4. Step 4: Simplify right side
    22,626.52x = 265,750,935.86
  5. Step 5: Solve for x
    x = 265,750,935.86/22,626.52
  6. Step 6: Final answer
    x = 11,745.11

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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.