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Finding the Fourth Proportional to 12,858.22, 17,744.25 and 7,192.94

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Solution

The fourth proportional to 12,858.22, 17,744.25 and 7,192.94 is: 9,926.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.22 : 17,744.25 = 7,192.94 : x
  2. Step 2: Convert to fraction form
    12,858.22/17,744.25 = 7,192.94/x
  3. Step 3: Cross multiply
    12,858.22x = 17,744.25 × 7,192.94
  4. Step 4: Simplify right side
    12,858.22x = 127,633,289.63
  5. Step 5: Solve for x
    x = 127,633,289.63/12,858.22
  6. Step 6: Final answer
    x = 9,926.21

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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.