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Finding the Fourth Proportional to 23,831.72, 32,874.11 and 14,863.65

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Solution

The fourth proportional to 23,831.72, 32,874.11 and 14,863.65 is: 20,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,831.72 : 32,874.11 = 14,863.65 : x
  2. Step 2: Convert to fraction form
    23,831.72/32,874.11 = 14,863.65/x
  3. Step 3: Cross multiply
    23,831.72x = 32,874.11 × 14,863.65
  4. Step 4: Simplify right side
    23,831.72x = 488,629,265.10
  5. Step 5: Solve for x
    x = 488,629,265.10/23,831.72
  6. Step 6: Final answer
    x = 20,503.32

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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.