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Finding the Fourth Proportional to 23,644.86, 35,455.14 and 7,002.81

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Solution

The fourth proportional to 23,644.86, 35,455.14 and 7,002.81 is: 10,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,644.86 : 35,455.14 = 7,002.81 : x
  2. Step 2: Convert to fraction form
    23,644.86/35,455.14 = 7,002.81/x
  3. Step 3: Cross multiply
    23,644.86x = 35,455.14 × 7,002.81
  4. Step 4: Simplify right side
    23,644.86x = 248,285,608.94
  5. Step 5: Solve for x
    x = 248,285,608.94/23,644.86
  6. Step 6: Final answer
    x = 10,500.62

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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.