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Finding the Fourth Proportional to 16,831.30, 23,223.10 and 11,471.40

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Solution

The fourth proportional to 16,831.30, 23,223.10 and 11,471.40 is: 15,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,831.30 : 23,223.10 = 11,471.40 : x
  2. Step 2: Convert to fraction form
    16,831.30/23,223.10 = 11,471.40/x
  3. Step 3: Cross multiply
    16,831.30x = 23,223.10 × 11,471.40
  4. Step 4: Simplify right side
    16,831.30x = 266,401,469.34
  5. Step 5: Solve for x
    x = 266,401,469.34/16,831.30
  6. Step 6: Final answer
    x = 15,827.74

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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.