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Finding the Fourth Proportional to 27,576, 38,056.74 and 15,640.11

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Solution

The fourth proportional to 27,576, 38,056.74 and 15,640.11 is: 21,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576 : 38,056.74 = 15,640.11 : x
  2. Step 2: Convert to fraction form
    27,576/38,056.74 = 15,640.11/x
  3. Step 3: Cross multiply
    27,576x = 38,056.74 × 15,640.11
  4. Step 4: Simplify right side
    27,576x = 595,211,599.84
  5. Step 5: Solve for x
    x = 595,211,599.84/27,576
  6. Step 6: Final answer
    x = 21,584.41

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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.