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Finding the Fourth Proportional to 27,642.26, 41,470.57 and 7,922.36

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Solution

The fourth proportional to 27,642.26, 41,470.57 and 7,922.36 is: 11,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.26 : 41,470.57 = 7,922.36 : x
  2. Step 2: Convert to fraction form
    27,642.26/41,470.57 = 7,922.36/x
  3. Step 3: Cross multiply
    27,642.26x = 41,470.57 × 7,922.36
  4. Step 4: Simplify right side
    27,642.26x = 328,544,784.95
  5. Step 5: Solve for x
    x = 328,544,784.95/27,642.26
  6. Step 6: Final answer
    x = 11,885.60

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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.