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Finding the Fourth Proportional to 23,811.72, 35,714.07 and 6,282.78

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Solution

The fourth proportional to 23,811.72, 35,714.07 and 6,282.78 is: 9,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.72 : 35,714.07 = 6,282.78 : x
  2. Step 2: Convert to fraction form
    23,811.72/35,714.07 = 6,282.78/x
  3. Step 3: Cross multiply
    23,811.72x = 35,714.07 × 6,282.78
  4. Step 4: Simplify right side
    23,811.72x = 224,383,644.71
  5. Step 5: Solve for x
    x = 224,383,644.71/23,811.72
  6. Step 6: Final answer
    x = 9,423.24

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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.