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Finding the Fourth Proportional to 27,438.94, 41,156.37 and 9,908.78

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Solution

The fourth proportional to 27,438.94, 41,156.37 and 9,908.78 is: 14,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,438.94 : 41,156.37 = 9,908.78 : x
  2. Step 2: Convert to fraction form
    27,438.94/41,156.37 = 9,908.78/x
  3. Step 3: Cross multiply
    27,438.94x = 41,156.37 × 9,908.78
  4. Step 4: Simplify right side
    27,438.94x = 407,809,415.93
  5. Step 5: Solve for x
    x = 407,809,415.93/27,438.94
  6. Step 6: Final answer
    x = 14,862.43

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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.