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Finding the Fourth Proportional to 23,729.46, 32,745 and 13,118.25

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Solution

The fourth proportional to 23,729.46, 32,745 and 13,118.25 is: 18,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,729.46 : 32,745 = 13,118.25 : x
  2. Step 2: Convert to fraction form
    23,729.46/32,745 = 13,118.25/x
  3. Step 3: Cross multiply
    23,729.46x = 32,745 × 13,118.25
  4. Step 4: Simplify right side
    23,729.46x = 429,557,096.25
  5. Step 5: Solve for x
    x = 429,557,096.25/23,729.46
  6. Step 6: Final answer
    x = 18,102.27

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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.