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Finding the Fourth Proportional to 27,461.64, 37,896.81 and 15,361.98

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Solution

The fourth proportional to 27,461.64, 37,896.81 and 15,361.98 is: 21,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,461.64 : 37,896.81 = 15,361.98 : x
  2. Step 2: Convert to fraction form
    27,461.64/37,896.81 = 15,361.98/x
  3. Step 3: Cross multiply
    27,461.64x = 37,896.81 × 15,361.98
  4. Step 4: Simplify right side
    27,461.64x = 582,170,037.28
  5. Step 5: Solve for x
    x = 582,170,037.28/27,461.64
  6. Step 6: Final answer
    x = 21,199.39

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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.