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Finding the Fourth Proportional to 13,671.54, 20,500.02 and 7,081.38

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Solution

The fourth proportional to 13,671.54, 20,500.02 and 7,081.38 is: 10,618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.54 : 20,500.02 = 7,081.38 : x
  2. Step 2: Convert to fraction form
    13,671.54/20,500.02 = 7,081.38/x
  3. Step 3: Cross multiply
    13,671.54x = 20,500.02 × 7,081.38
  4. Step 4: Simplify right side
    13,671.54x = 145,168,431.63
  5. Step 5: Solve for x
    x = 145,168,431.63/13,671.54
  6. Step 6: Final answer
    x = 10,618.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.