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Finding the Fourth Proportional to 12,778.33, 17,634.09 and 7,112.95

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Solution

The fourth proportional to 12,778.33, 17,634.09 and 7,112.95 is: 9,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.33 : 17,634.09 = 7,112.95 : x
  2. Step 2: Convert to fraction form
    12,778.33/17,634.09 = 7,112.95/x
  3. Step 3: Cross multiply
    12,778.33x = 17,634.09 × 7,112.95
  4. Step 4: Simplify right side
    12,778.33x = 125,430,364.90
  5. Step 5: Solve for x
    x = 125,430,364.90/12,778.33
  6. Step 6: Final answer
    x = 9,815.87

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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.