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Finding the Fourth Proportional to 23,408.83, 32,321.07 and 14,468.59

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Solution

The fourth proportional to 23,408.83, 32,321.07 and 14,468.59 is: 19,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408.83 : 32,321.07 = 14,468.59 : x
  2. Step 2: Convert to fraction form
    23,408.83/32,321.07 = 14,468.59/x
  3. Step 3: Cross multiply
    23,408.83x = 32,321.07 × 14,468.59
  4. Step 4: Simplify right side
    23,408.83x = 467,640,310.19
  5. Step 5: Solve for x
    x = 467,640,310.19/23,408.83
  6. Step 6: Final answer
    x = 19,977.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.