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Finding the Fourth Proportional to 13,035.26, 17,984.43 and 7,369.46

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Solution

The fourth proportional to 13,035.26, 17,984.43 and 7,369.46 is: 10,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.26 : 17,984.43 = 7,369.46 : x
  2. Step 2: Convert to fraction form
    13,035.26/17,984.43 = 7,369.46/x
  3. Step 3: Cross multiply
    13,035.26x = 17,984.43 × 7,369.46
  4. Step 4: Simplify right side
    13,035.26x = 132,535,537.51
  5. Step 5: Solve for x
    x = 132,535,537.51/13,035.26
  6. Step 6: Final answer
    x = 10,167.46

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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.