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Finding the Fourth Proportional to 26,588.64, 39,894.48 and 14,262.24

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Solution

The fourth proportional to 26,588.64, 39,894.48 and 14,262.24 is: 21,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,588.64 : 39,894.48 = 14,262.24 : x
  2. Step 2: Convert to fraction form
    26,588.64/39,894.48 = 14,262.24/x
  3. Step 3: Cross multiply
    26,588.64x = 39,894.48 × 14,262.24
  4. Step 4: Simplify right side
    26,588.64x = 568,984,648.44
  5. Step 5: Solve for x
    x = 568,984,648.44/26,588.64
  6. Step 6: Final answer
    x = 21,399.54

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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.