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Finding the Fourth Proportional to 27,544.64, 41,306 and 10,004.88

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Solution

The fourth proportional to 27,544.64, 41,306 and 10,004.88 is: 15,003.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,544.64 : 41,306 = 10,004.88 : x
  2. Step 2: Convert to fraction form
    27,544.64/41,306 = 10,004.88/x
  3. Step 3: Cross multiply
    27,544.64x = 41,306 × 10,004.88
  4. Step 4: Simplify right side
    27,544.64x = 413,261,573.28
  5. Step 5: Solve for x
    x = 413,261,573.28/27,544.64
  6. Step 6: Final answer
    x = 15,003.34

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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.