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Finding the Fourth Proportional to 13,713.36, 18,923.40 and 7,744.20

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Solution

The fourth proportional to 13,713.36, 18,923.40 and 7,744.20 is: 10,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.36 : 18,923.40 = 7,744.20 : x
  2. Step 2: Convert to fraction form
    13,713.36/18,923.40 = 7,744.20/x
  3. Step 3: Cross multiply
    13,713.36x = 18,923.40 × 7,744.20
  4. Step 4: Simplify right side
    13,713.36x = 146,546,594.28
  5. Step 5: Solve for x
    x = 146,546,594.28/13,713.36
  6. Step 6: Final answer
    x = 10,686.41

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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.