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Finding the Fourth Proportional to 12,643.31, 17,447.78 and 7,054.31

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Solution

The fourth proportional to 12,643.31, 17,447.78 and 7,054.31 is: 9,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.31 : 17,447.78 = 7,054.31 : x
  2. Step 2: Convert to fraction form
    12,643.31/17,447.78 = 7,054.31/x
  3. Step 3: Cross multiply
    12,643.31x = 17,447.78 × 7,054.31
  4. Step 4: Simplify right side
    12,643.31x = 123,082,110.19
  5. Step 5: Solve for x
    x = 123,082,110.19/12,643.31
  6. Step 6: Final answer
    x = 9,734.96

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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.