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Finding the Fourth Proportional to 27,468, 41,199.93 and 8,747.28

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Solution

The fourth proportional to 27,468, 41,199.93 and 8,747.28 is: 13,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468 : 41,199.93 = 8,747.28 : x
  2. Step 2: Convert to fraction form
    27,468/41,199.93 = 8,747.28/x
  3. Step 3: Cross multiply
    27,468x = 41,199.93 × 8,747.28
  4. Step 4: Simplify right side
    27,468x = 360,387,323.69
  5. Step 5: Solve for x
    x = 360,387,323.69/27,468
  6. Step 6: Final answer
    x = 13,120.26

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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.