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Finding the Fourth Proportional to 12,813.82, 17,684.19 and 7,438.25

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Solution

The fourth proportional to 12,813.82, 17,684.19 and 7,438.25 is: 10,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.82 : 17,684.19 = 7,438.25 : x
  2. Step 2: Convert to fraction form
    12,813.82/17,684.19 = 7,438.25/x
  3. Step 3: Cross multiply
    12,813.82x = 17,684.19 × 7,438.25
  4. Step 4: Simplify right side
    12,813.82x = 131,539,470.48
  5. Step 5: Solve for x
    x = 131,539,470.48/12,813.82
  6. Step 6: Final answer
    x = 10,265.44

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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.