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Finding the Fourth Proportional to 23,910.78, 35,876.13 and 12,814.62

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Solution

The fourth proportional to 23,910.78, 35,876.13 and 12,814.62 is: 19,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,910.78 : 35,876.13 = 12,814.62 : x
  2. Step 2: Convert to fraction form
    23,910.78/35,876.13 = 12,814.62/x
  3. Step 3: Cross multiply
    23,910.78x = 35,876.13 × 12,814.62
  4. Step 4: Simplify right side
    23,910.78x = 459,738,973.02
  5. Step 5: Solve for x
    x = 459,738,973.02/23,910.78
  6. Step 6: Final answer
    x = 19,227.27

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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.