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Finding the Fourth Proportional to 13,713.06, 18,924.42 and 7,744.38

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Solution

The fourth proportional to 13,713.06, 18,924.42 and 7,744.38 is: 10,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.06 : 18,924.42 = 7,744.38 : x
  2. Step 2: Convert to fraction form
    13,713.06/18,924.42 = 7,744.38/x
  3. Step 3: Cross multiply
    13,713.06x = 18,924.42 × 7,744.38
  4. Step 4: Simplify right side
    13,713.06x = 146,557,899.76
  5. Step 5: Solve for x
    x = 146,557,899.76/13,713.06
  6. Step 6: Final answer
    x = 10,687.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.