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Finding the Fourth Proportional to 23,406.78, 35,115.03 and 7,824

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Solution

The fourth proportional to 23,406.78, 35,115.03 and 7,824 is: 11,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406.78 : 35,115.03 = 7,824 : x
  2. Step 2: Convert to fraction form
    23,406.78/35,115.03 = 7,824/x
  3. Step 3: Cross multiply
    23,406.78x = 35,115.03 × 7,824
  4. Step 4: Simplify right side
    23,406.78x = 274,739,994.72
  5. Step 5: Solve for x
    x = 274,739,994.72/23,406.78
  6. Step 6: Final answer
    x = 11,737.62

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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.