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Finding the Fourth Proportional to 10,661.86, 16,003.73 and 10,268.20

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Solution

The fourth proportional to 10,661.86, 16,003.73 and 10,268.20 is: 15,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.86 : 16,003.73 = 10,268.20 : x
  2. Step 2: Convert to fraction form
    10,661.86/16,003.73 = 10,268.20/x
  3. Step 3: Cross multiply
    10,661.86x = 16,003.73 × 10,268.20
  4. Step 4: Simplify right side
    10,661.86x = 164,329,500.39
  5. Step 5: Solve for x
    x = 164,329,500.39/10,661.86
  6. Step 6: Final answer
    x = 15,412.84

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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.