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Finding the Fourth Proportional to 27,732.78, 41,599.08 and 11,097

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Solution

The fourth proportional to 27,732.78, 41,599.08 and 11,097 is: 16,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732.78 : 41,599.08 = 11,097 : x
  2. Step 2: Convert to fraction form
    27,732.78/41,599.08 = 11,097/x
  3. Step 3: Cross multiply
    27,732.78x = 41,599.08 × 11,097
  4. Step 4: Simplify right side
    27,732.78x = 461,624,990.76
  5. Step 5: Solve for x
    x = 461,624,990.76/27,732.78
  6. Step 6: Final answer
    x = 16,645.46

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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.