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Finding the Fourth Proportional to 27,431.94, 41,143.71 and 8,709.54

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Solution

The fourth proportional to 27,431.94, 41,143.71 and 8,709.54 is: 13,062.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.94 : 41,143.71 = 8,709.54 : x
  2. Step 2: Convert to fraction form
    27,431.94/41,143.71 = 8,709.54/x
  3. Step 3: Cross multiply
    27,431.94x = 41,143.71 × 8,709.54
  4. Step 4: Simplify right side
    27,431.94x = 358,342,787.99
  5. Step 5: Solve for x
    x = 358,342,787.99/27,431.94
  6. Step 6: Final answer
    x = 13,062.98

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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.