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Finding the Fourth Proportional to 27,783.57, 41,679.69 and 9,311.25

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Solution

The fourth proportional to 27,783.57, 41,679.69 and 9,311.25 is: 13,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.57 : 41,679.69 = 9,311.25 : x
  2. Step 2: Convert to fraction form
    27,783.57/41,679.69 = 9,311.25/x
  3. Step 3: Cross multiply
    27,783.57x = 41,679.69 × 9,311.25
  4. Step 4: Simplify right side
    27,783.57x = 388,090,013.51
  5. Step 5: Solve for x
    x = 388,090,013.51/27,783.57
  6. Step 6: Final answer
    x = 13,968.33

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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.