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Finding the Fourth Proportional to 23,868.96, 32,937.60 and 14,916

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Solution

The fourth proportional to 23,868.96, 32,937.60 and 14,916 is: 20,583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,868.96 : 32,937.60 = 14,916 : x
  2. Step 2: Convert to fraction form
    23,868.96/32,937.60 = 14,916/x
  3. Step 3: Cross multiply
    23,868.96x = 32,937.60 × 14,916
  4. Step 4: Simplify right side
    23,868.96x = 491,297,241.60
  5. Step 5: Solve for x
    x = 491,297,241.60/23,868.96
  6. Step 6: Final answer
    x = 20,583.10

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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.