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Finding the Fourth Proportional to 27,396, 41,097.24 and 8,928

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Solution

The fourth proportional to 27,396, 41,097.24 and 8,928 is: 13,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,396 : 41,097.24 = 8,928 : x
  2. Step 2: Convert to fraction form
    27,396/41,097.24 = 8,928/x
  3. Step 3: Cross multiply
    27,396x = 41,097.24 × 8,928
  4. Step 4: Simplify right side
    27,396x = 366,916,158.72
  5. Step 5: Solve for x
    x = 366,916,158.72/27,396
  6. Step 6: Final answer
    x = 13,393.06

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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.