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Finding the Fourth Proportional to 27,998.34, 41,998.32 and 10,464.81

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Solution

The fourth proportional to 27,998.34, 41,998.32 and 10,464.81 is: 15,697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998.34 : 41,998.32 = 10,464.81 : x
  2. Step 2: Convert to fraction form
    27,998.34/41,998.32 = 10,464.81/x
  3. Step 3: Cross multiply
    27,998.34x = 41,998.32 × 10,464.81
  4. Step 4: Simplify right side
    27,998.34x = 439,504,439.12
  5. Step 5: Solve for x
    x = 439,504,439.12/27,998.34
  6. Step 6: Final answer
    x = 15,697.52

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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.