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Finding the Fourth Proportional to 23,408.25, 32,307 and 14,914.05

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Solution

The fourth proportional to 23,408.25, 32,307 and 14,914.05 is: 20,583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408.25 : 32,307 = 14,914.05 : x
  2. Step 2: Convert to fraction form
    23,408.25/32,307 = 14,914.05/x
  3. Step 3: Cross multiply
    23,408.25x = 32,307 × 14,914.05
  4. Step 4: Simplify right side
    23,408.25x = 481,828,213.35
  5. Step 5: Solve for x
    x = 481,828,213.35/23,408.25
  6. Step 6: Final answer
    x = 20,583.69

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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.