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Finding the Fourth Proportional to 12,805.26, 17,669.36 and 7,427.46

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Solution

The fourth proportional to 12,805.26, 17,669.36 and 7,427.46 is: 10,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.26 : 17,669.36 = 7,427.46 : x
  2. Step 2: Convert to fraction form
    12,805.26/17,669.36 = 7,427.46/x
  3. Step 3: Cross multiply
    12,805.26x = 17,669.36 × 7,427.46
  4. Step 4: Simplify right side
    12,805.26x = 131,238,464.63
  5. Step 5: Solve for x
    x = 131,238,464.63/12,805.26
  6. Step 6: Final answer
    x = 10,248.79

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