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Finding the Fourth Proportional to 13,923, 19,213.79 and 7,549.70

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Solution

The fourth proportional to 13,923, 19,213.79 and 7,549.70 is: 10,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923 : 19,213.79 = 7,549.70 : x
  2. Step 2: Convert to fraction form
    13,923/19,213.79 = 7,549.70/x
  3. Step 3: Cross multiply
    13,923x = 19,213.79 × 7,549.70
  4. Step 4: Simplify right side
    13,923x = 145,058,216.55
  5. Step 5: Solve for x
    x = 145,058,216.55/13,923
  6. Step 6: Final answer
    x = 10,418.60

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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.