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Finding the Fourth Proportional to 13,831.40, 20,747.10 and 12,103.40

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Solution

The fourth proportional to 13,831.40, 20,747.10 and 12,103.40 is: 18,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.40 : 20,747.10 = 12,103.40 : x
  2. Step 2: Convert to fraction form
    13,831.40/20,747.10 = 12,103.40/x
  3. Step 3: Cross multiply
    13,831.40x = 20,747.10 × 12,103.40
  4. Step 4: Simplify right side
    13,831.40x = 251,110,450.14
  5. Step 5: Solve for x
    x = 251,110,450.14/13,831.40
  6. Step 6: Final answer
    x = 18,155.10

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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.