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Finding the Fourth Proportional to 27,957.02, 41,942.82 and 10,427

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Solution

The fourth proportional to 27,957.02, 41,942.82 and 10,427 is: 15,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957.02 : 41,942.82 = 10,427 : x
  2. Step 2: Convert to fraction form
    27,957.02/41,942.82 = 10,427/x
  3. Step 3: Cross multiply
    27,957.02x = 41,942.82 × 10,427
  4. Step 4: Simplify right side
    27,957.02x = 437,337,784.14
  5. Step 5: Solve for x
    x = 437,337,784.14/27,957.02
  6. Step 6: Final answer
    x = 15,643.22

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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.