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Finding the Fourth Proportional to 23,874.20, 35,811.68 and 7,234.40

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Solution

The fourth proportional to 23,874.20, 35,811.68 and 7,234.40 is: 10,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.20 : 35,811.68 = 7,234.40 : x
  2. Step 2: Convert to fraction form
    23,874.20/35,811.68 = 7,234.40/x
  3. Step 3: Cross multiply
    23,874.20x = 35,811.68 × 7,234.40
  4. Step 4: Simplify right side
    23,874.20x = 259,076,017.79
  5. Step 5: Solve for x
    x = 259,076,017.79/23,874.20
  6. Step 6: Final answer
    x = 10,851.72

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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.