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Finding the Fourth Proportional to 27,738.88, 41,606.40 and 10,205.44

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Solution

The fourth proportional to 27,738.88, 41,606.40 and 10,205.44 is: 15,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738.88 : 41,606.40 = 10,205.44 : x
  2. Step 2: Convert to fraction form
    27,738.88/41,606.40 = 10,205.44/x
  3. Step 3: Cross multiply
    27,738.88x = 41,606.40 × 10,205.44
  4. Step 4: Simplify right side
    27,738.88x = 424,611,618.82
  5. Step 5: Solve for x
    x = 424,611,618.82/27,738.88
  6. Step 6: Final answer
    x = 15,307.45

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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.