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Finding the Fourth Proportional to 27,858.42, 41,758.32 and 9,133.60

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Solution

The fourth proportional to 27,858.42, 41,758.32 and 9,133.60 is: 13,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.42 : 41,758.32 = 9,133.60 : x
  2. Step 2: Convert to fraction form
    27,858.42/41,758.32 = 9,133.60/x
  3. Step 3: Cross multiply
    27,858.42x = 41,758.32 × 9,133.60
  4. Step 4: Simplify right side
    27,858.42x = 381,403,791.55
  5. Step 5: Solve for x
    x = 381,403,791.55/27,858.42
  6. Step 6: Final answer
    x = 13,690.79

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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.