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Finding the Fourth Proportional to 26,564.78, 39,852.42 and 7,845.14

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Solution

The fourth proportional to 26,564.78, 39,852.42 and 7,845.14 is: 11,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,564.78 : 39,852.42 = 7,845.14 : x
  2. Step 2: Convert to fraction form
    26,564.78/39,852.42 = 7,845.14/x
  3. Step 3: Cross multiply
    26,564.78x = 39,852.42 × 7,845.14
  4. Step 4: Simplify right side
    26,564.78x = 312,647,814.24
  5. Step 5: Solve for x
    x = 312,647,814.24/26,564.78
  6. Step 6: Final answer
    x = 11,769.26

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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.