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Finding the Fourth Proportional to 27,923.39, 41,890.27 and 9,204.74

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Solution

The fourth proportional to 27,923.39, 41,890.27 and 9,204.74 is: 13,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,923.39 : 41,890.27 = 9,204.74 : x
  2. Step 2: Convert to fraction form
    27,923.39/41,890.27 = 9,204.74/x
  3. Step 3: Cross multiply
    27,923.39x = 41,890.27 × 9,204.74
  4. Step 4: Simplify right side
    27,923.39x = 385,589,043.88
  5. Step 5: Solve for x
    x = 385,589,043.88/27,923.39
  6. Step 6: Final answer
    x = 13,808.82

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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.