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Finding the Fourth Proportional to 27,584.96, 41,364.48 and 9,104

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Solution

The fourth proportional to 27,584.96, 41,364.48 and 9,104 is: 13,651.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.96 : 41,364.48 = 9,104 : x
  2. Step 2: Convert to fraction form
    27,584.96/41,364.48 = 9,104/x
  3. Step 3: Cross multiply
    27,584.96x = 41,364.48 × 9,104
  4. Step 4: Simplify right side
    27,584.96x = 376,582,225.92
  5. Step 5: Solve for x
    x = 376,582,225.92/27,584.96
  6. Step 6: Final answer
    x = 13,651.72

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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.