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Finding the Fourth Proportional to 23,877.96, 32,951.91 and 14,446.53

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Solution

The fourth proportional to 23,877.96, 32,951.91 and 14,446.53 is: 19,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,877.96 : 32,951.91 = 14,446.53 : x
  2. Step 2: Convert to fraction form
    23,877.96/32,951.91 = 14,446.53/x
  3. Step 3: Cross multiply
    23,877.96x = 32,951.91 × 14,446.53
  4. Step 4: Simplify right side
    23,877.96x = 476,040,756.37
  5. Step 5: Solve for x
    x = 476,040,756.37/23,877.96
  6. Step 6: Final answer
    x = 19,936.41

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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.