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Finding the Fourth Proportional to 27,824.69, 41,740.93 and 9,106.21

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Solution

The fourth proportional to 27,824.69, 41,740.93 and 9,106.21 is: 13,660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824.69 : 41,740.93 = 9,106.21 : x
  2. Step 2: Convert to fraction form
    27,824.69/41,740.93 = 9,106.21/x
  3. Step 3: Cross multiply
    27,824.69x = 41,740.93 × 9,106.21
  4. Step 4: Simplify right side
    27,824.69x = 380,101,477.33
  5. Step 5: Solve for x
    x = 380,101,477.33/27,824.69
  6. Step 6: Final answer
    x = 13,660.58

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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.