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Finding the Fourth Proportional to 13,713.86, 18,924.14 and 7,744.36

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Solution

The fourth proportional to 13,713.86, 18,924.14 and 7,744.36 is: 10,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.86 : 18,924.14 = 7,744.36 : x
  2. Step 2: Convert to fraction form
    13,713.86/18,924.14 = 7,744.36/x
  3. Step 3: Cross multiply
    13,713.86x = 18,924.14 × 7,744.36
  4. Step 4: Simplify right side
    13,713.86x = 146,555,352.85
  5. Step 5: Solve for x
    x = 146,555,352.85/13,713.86
  6. Step 6: Final answer
    x = 10,686.66

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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.