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Finding the Fourth Proportional to 27,381.87, 37,787.09 and 14,806.62

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Solution

The fourth proportional to 27,381.87, 37,787.09 and 14,806.62 is: 20,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,381.87 : 37,787.09 = 14,806.62 : x
  2. Step 2: Convert to fraction form
    27,381.87/37,787.09 = 14,806.62/x
  3. Step 3: Cross multiply
    27,381.87x = 37,787.09 × 14,806.62
  4. Step 4: Simplify right side
    27,381.87x = 559,499,008.50
  5. Step 5: Solve for x
    x = 559,499,008.50/27,381.87
  6. Step 6: Final answer
    x = 20,433.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.