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Finding the Fourth Proportional to 11,843.86, 17,785.95 and 11,348.50

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Solution

The fourth proportional to 11,843.86, 17,785.95 and 11,348.50 is: 17,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.86 : 17,785.95 = 11,348.50 : x
  2. Step 2: Convert to fraction form
    11,843.86/17,785.95 = 11,348.50/x
  3. Step 3: Cross multiply
    11,843.86x = 17,785.95 × 11,348.50
  4. Step 4: Simplify right side
    11,843.86x = 201,843,853.58
  5. Step 5: Solve for x
    x = 201,843,853.58/11,843.86
  6. Step 6: Final answer
    x = 17,042.07

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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.