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Finding the Fourth Proportional to 27,490.32, 41,201.70 and 12,678.68

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Solution

The fourth proportional to 27,490.32, 41,201.70 and 12,678.68 is: 19,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,490.32 : 41,201.70 = 12,678.68 : x
  2. Step 2: Convert to fraction form
    27,490.32/41,201.70 = 12,678.68/x
  3. Step 3: Cross multiply
    27,490.32x = 41,201.70 × 12,678.68
  4. Step 4: Simplify right side
    27,490.32x = 522,383,169.76
  5. Step 5: Solve for x
    x = 522,383,169.76/27,490.32
  6. Step 6: Final answer
    x = 19,002.44

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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.