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Finding the Fourth Proportional to 12,841.25, 17,723.27 and 7,464.43

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Solution

The fourth proportional to 12,841.25, 17,723.27 and 7,464.43 is: 10,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.25 : 17,723.27 = 7,464.43 : x
  2. Step 2: Convert to fraction form
    12,841.25/17,723.27 = 7,464.43/x
  3. Step 3: Cross multiply
    12,841.25x = 17,723.27 × 7,464.43
  4. Step 4: Simplify right side
    12,841.25x = 132,294,026.66
  5. Step 5: Solve for x
    x = 132,294,026.66/12,841.25
  6. Step 6: Final answer
    x = 10,302.27

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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.