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Finding the Fourth Proportional to 27,740.32, 41,601.76 and 9,268

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Solution

The fourth proportional to 27,740.32, 41,601.76 and 9,268 is: 13,899.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740.32 : 41,601.76 = 9,268 : x
  2. Step 2: Convert to fraction form
    27,740.32/41,601.76 = 9,268/x
  3. Step 3: Cross multiply
    27,740.32x = 41,601.76 × 9,268
  4. Step 4: Simplify right side
    27,740.32x = 385,565,111.68
  5. Step 5: Solve for x
    x = 385,565,111.68/27,740.32
  6. Step 6: Final answer
    x = 13,899.09

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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.