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Finding the Fourth Proportional to 23,147.84, 34,714.57 and 8,354.83

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Solution

The fourth proportional to 23,147.84, 34,714.57 and 8,354.83 is: 12,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,147.84 : 34,714.57 = 8,354.83 : x
  2. Step 2: Convert to fraction form
    23,147.84/34,714.57 = 8,354.83/x
  3. Step 3: Cross multiply
    23,147.84x = 34,714.57 × 8,354.83
  4. Step 4: Simplify right side
    23,147.84x = 290,034,115.53
  5. Step 5: Solve for x
    x = 290,034,115.53/23,147.84
  6. Step 6: Final answer
    x = 12,529.64

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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.