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Finding the Fourth Proportional to 27,928, 41,899.56 and 9,460

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Solution

The fourth proportional to 27,928, 41,899.56 and 9,460 is: 14,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,928 : 41,899.56 = 9,460 : x
  2. Step 2: Convert to fraction form
    27,928/41,899.56 = 9,460/x
  3. Step 3: Cross multiply
    27,928x = 41,899.56 × 9,460
  4. Step 4: Simplify right side
    27,928x = 396,369,837.60
  5. Step 5: Solve for x
    x = 396,369,837.60/27,928
  6. Step 6: Final answer
    x = 14,192.56

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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.