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Finding the Fourth Proportional to 13,033.34, 17,984.73 and 7,727.43

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Solution

The fourth proportional to 13,033.34, 17,984.73 and 7,727.43 is: 10,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.34 : 17,984.73 = 7,727.43 : x
  2. Step 2: Convert to fraction form
    13,033.34/17,984.73 = 7,727.43/x
  3. Step 3: Cross multiply
    13,033.34x = 17,984.73 × 7,727.43
  4. Step 4: Simplify right side
    13,033.34x = 138,975,742.14
  5. Step 5: Solve for x
    x = 138,975,742.14/13,033.34
  6. Step 6: Final answer
    x = 10,663.09

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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.