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Finding the Fourth Proportional to 11,228.54, 16,831.78 and 9,566.42

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Solution

The fourth proportional to 11,228.54, 16,831.78 and 9,566.42 is: 14,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228.54 : 16,831.78 = 9,566.42 : x
  2. Step 2: Convert to fraction form
    11,228.54/16,831.78 = 9,566.42/x
  3. Step 3: Cross multiply
    11,228.54x = 16,831.78 × 9,566.42
  4. Step 4: Simplify right side
    11,228.54x = 161,019,876.83
  5. Step 5: Solve for x
    x = 161,019,876.83/11,228.54
  6. Step 6: Final answer
    x = 14,340.23

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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.