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Finding the Fourth Proportional to 14,093.31, 19,449.38 and 7,805.69

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Solution

The fourth proportional to 14,093.31, 19,449.38 and 7,805.69 is: 10,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093.31 : 19,449.38 = 7,805.69 : x
  2. Step 2: Convert to fraction form
    14,093.31/19,449.38 = 7,805.69/x
  3. Step 3: Cross multiply
    14,093.31x = 19,449.38 × 7,805.69
  4. Step 4: Simplify right side
    14,093.31x = 151,815,830.97
  5. Step 5: Solve for x
    x = 151,815,830.97/14,093.31
  6. Step 6: Final answer
    x = 10,772.19

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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.