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Finding the Fourth Proportional to 16,831.50, 23,227.34 and 9,277.83

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Solution

The fourth proportional to 16,831.50, 23,227.34 and 9,277.83 is: 12,803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,831.50 : 23,227.34 = 9,277.83 : x
  2. Step 2: Convert to fraction form
    16,831.50/23,227.34 = 9,277.83/x
  3. Step 3: Cross multiply
    16,831.50x = 23,227.34 × 9,277.83
  4. Step 4: Simplify right side
    16,831.50x = 215,499,265.48
  5. Step 5: Solve for x
    x = 215,499,265.48/16,831.50
  6. Step 6: Final answer
    x = 12,803.33

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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.