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Finding the Fourth Proportional to 27,732, 41,573.28 and 10,197.60

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Solution

The fourth proportional to 27,732, 41,573.28 and 10,197.60 is: 15,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732 : 41,573.28 = 10,197.60 : x
  2. Step 2: Convert to fraction form
    27,732/41,573.28 = 10,197.60/x
  3. Step 3: Cross multiply
    27,732x = 41,573.28 × 10,197.60
  4. Step 4: Simplify right side
    27,732x = 423,947,680.13
  5. Step 5: Solve for x
    x = 423,947,680.13/27,732
  6. Step 6: Final answer
    x = 15,287.31

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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.