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Finding the Fourth Proportional to 27,787.88, 41,683.67 and 9,773.94

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Solution

The fourth proportional to 27,787.88, 41,683.67 and 9,773.94 is: 14,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,787.88 : 41,683.67 = 9,773.94 : x
  2. Step 2: Convert to fraction form
    27,787.88/41,683.67 = 9,773.94/x
  3. Step 3: Cross multiply
    27,787.88x = 41,683.67 × 9,773.94
  4. Step 4: Simplify right side
    27,787.88x = 407,413,743.91
  5. Step 5: Solve for x
    x = 407,413,743.91/27,787.88
  6. Step 6: Final answer
    x = 14,661.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.