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Finding the Fourth Proportional to 15,914.61, 23,874.50 and 5,385.27

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Solution

The fourth proportional to 15,914.61, 23,874.50 and 5,385.27 is: 8,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.61 : 23,874.50 = 5,385.27 : x
  2. Step 2: Convert to fraction form
    15,914.61/23,874.50 = 5,385.27/x
  3. Step 3: Cross multiply
    15,914.61x = 23,874.50 × 5,385.27
  4. Step 4: Simplify right side
    15,914.61x = 128,570,628.62
  5. Step 5: Solve for x
    x = 128,570,628.62/15,914.61
  6. Step 6: Final answer
    x = 8,078.78

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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.