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Finding the Fourth Proportional to 23,448.78, 35,178.48 and 7,866

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Solution

The fourth proportional to 23,448.78, 35,178.48 and 7,866 is: 11,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,448.78 : 35,178.48 = 7,866 : x
  2. Step 2: Convert to fraction form
    23,448.78/35,178.48 = 7,866/x
  3. Step 3: Cross multiply
    23,448.78x = 35,178.48 × 7,866
  4. Step 4: Simplify right side
    23,448.78x = 276,713,923.68
  5. Step 5: Solve for x
    x = 276,713,923.68/23,448.78
  6. Step 6: Final answer
    x = 11,800.78

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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.