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Finding the Fourth Proportional to 10,015.41, 15,035.85 and 8,170.14

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Solution

The fourth proportional to 10,015.41, 15,035.85 and 8,170.14 is: 12,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.41 : 15,035.85 = 8,170.14 : x
  2. Step 2: Convert to fraction form
    10,015.41/15,035.85 = 8,170.14/x
  3. Step 3: Cross multiply
    10,015.41x = 15,035.85 × 8,170.14
  4. Step 4: Simplify right side
    10,015.41x = 122,844,999.52
  5. Step 5: Solve for x
    x = 122,844,999.52/10,015.41
  6. Step 6: Final answer
    x = 12,265.60

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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.