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Finding the Fourth Proportional to 27,570.69, 41,349.78 and 7,848.81

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Solution

The fourth proportional to 27,570.69, 41,349.78 and 7,848.81 is: 11,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570.69 : 41,349.78 = 7,848.81 : x
  2. Step 2: Convert to fraction form
    27,570.69/41,349.78 = 7,848.81/x
  3. Step 3: Cross multiply
    27,570.69x = 41,349.78 × 7,848.81
  4. Step 4: Simplify right side
    27,570.69x = 324,546,566.76
  5. Step 5: Solve for x
    x = 324,546,566.76/27,570.69
  6. Step 6: Final answer
    x = 11,771.43

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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.