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Finding the Fourth Proportional to 26,564.24, 39,840.92 and 9,921.20

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Solution

The fourth proportional to 26,564.24, 39,840.92 and 9,921.20 is: 14,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,564.24 : 39,840.92 = 9,921.20 : x
  2. Step 2: Convert to fraction form
    26,564.24/39,840.92 = 9,921.20/x
  3. Step 3: Cross multiply
    26,564.24x = 39,840.92 × 9,921.20
  4. Step 4: Simplify right side
    26,564.24x = 395,269,735.50
  5. Step 5: Solve for x
    x = 395,269,735.50/26,564.24
  6. Step 6: Final answer
    x = 14,879.77

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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.