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Finding the Fourth Proportional to 14,338.22, 19,785.60 and 8,049.38

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Solution

The fourth proportional to 14,338.22, 19,785.60 and 8,049.38 is: 11,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.22 : 19,785.60 = 8,049.38 : x
  2. Step 2: Convert to fraction form
    14,338.22/19,785.60 = 8,049.38/x
  3. Step 3: Cross multiply
    14,338.22x = 19,785.60 × 8,049.38
  4. Step 4: Simplify right side
    14,338.22x = 159,261,714
  5. Step 5: Solve for x
    x = 159,261,714/14,338.22
  6. Step 6: Final answer
    x = 11,107.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.