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Finding the Fourth Proportional to 11,843.36, 17,785.20 and 11,348

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Solution

The fourth proportional to 11,843.36, 17,785.20 and 11,348 is: 17,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.36 : 17,785.20 = 11,348 : x
  2. Step 2: Convert to fraction form
    11,843.36/17,785.20 = 11,348/x
  3. Step 3: Cross multiply
    11,843.36x = 17,785.20 × 11,348
  4. Step 4: Simplify right side
    11,843.36x = 201,826,449.60
  5. Step 5: Solve for x
    x = 201,826,449.60/11,843.36
  6. Step 6: Final answer
    x = 17,041.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.