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Finding the Fourth Proportional to 23,640.67, 35,462 and 7,847.11

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Solution

The fourth proportional to 23,640.67, 35,462 and 7,847.11 is: 11,771.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,640.67 : 35,462 = 7,847.11 : x
  2. Step 2: Convert to fraction form
    23,640.67/35,462 = 7,847.11/x
  3. Step 3: Cross multiply
    23,640.67x = 35,462 × 7,847.11
  4. Step 4: Simplify right side
    23,640.67x = 278,274,214.82
  5. Step 5: Solve for x
    x = 278,274,214.82/23,640.67
  6. Step 6: Final answer
    x = 11,771.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.