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Finding the Fourth Proportional to 27,552.69, 41,322.83 and 7,830.81

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Solution

The fourth proportional to 27,552.69, 41,322.83 and 7,830.81 is: 11,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,552.69 : 41,322.83 = 7,830.81 : x
  2. Step 2: Convert to fraction form
    27,552.69/41,322.83 = 7,830.81/x
  3. Step 3: Cross multiply
    27,552.69x = 41,322.83 × 7,830.81
  4. Step 4: Simplify right side
    27,552.69x = 323,591,191.24
  5. Step 5: Solve for x
    x = 323,591,191.24/27,552.69
  6. Step 6: Final answer
    x = 11,744.45

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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.