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Finding the Fourth Proportional to 27,598.64, 41,401 and 10,072.28

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Solution

The fourth proportional to 27,598.64, 41,401 and 10,072.28 is: 15,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.64 : 41,401 = 10,072.28 : x
  2. Step 2: Convert to fraction form
    27,598.64/41,401 = 10,072.28/x
  3. Step 3: Cross multiply
    27,598.64x = 41,401 × 10,072.28
  4. Step 4: Simplify right side
    27,598.64x = 417,002,464.28
  5. Step 5: Solve for x
    x = 417,002,464.28/27,598.64
  6. Step 6: Final answer
    x = 15,109.53

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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.