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Finding the Fourth Proportional to 23,800.76, 32,845 and 13,729.04

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Solution

The fourth proportional to 23,800.76, 32,845 and 13,729.04 is: 18,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.76 : 32,845 = 13,729.04 : x
  2. Step 2: Convert to fraction form
    23,800.76/32,845 = 13,729.04/x
  3. Step 3: Cross multiply
    23,800.76x = 32,845 × 13,729.04
  4. Step 4: Simplify right side
    23,800.76x = 450,930,318.80
  5. Step 5: Solve for x
    x = 450,930,318.80/23,800.76
  6. Step 6: Final answer
    x = 18,946.05

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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.