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Finding the Fourth Proportional to 13,792.98, 19,034.26 and 7,825.80

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Solution

The fourth proportional to 13,792.98, 19,034.26 and 7,825.80 is: 10,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.98 : 19,034.26 = 7,825.80 : x
  2. Step 2: Convert to fraction form
    13,792.98/19,034.26 = 7,825.80/x
  3. Step 3: Cross multiply
    13,792.98x = 19,034.26 × 7,825.80
  4. Step 4: Simplify right side
    13,792.98x = 148,958,311.91
  5. Step 5: Solve for x
    x = 148,958,311.91/13,792.98
  6. Step 6: Final answer
    x = 10,799.57

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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.