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Finding the Fourth Proportional to 13,812.26, 19,058.81 and 7,761.33

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Solution

The fourth proportional to 13,812.26, 19,058.81 and 7,761.33 is: 10,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.26 : 19,058.81 = 7,761.33 : x
  2. Step 2: Convert to fraction form
    13,812.26/19,058.81 = 7,761.33/x
  3. Step 3: Cross multiply
    13,812.26x = 19,058.81 × 7,761.33
  4. Step 4: Simplify right side
    13,812.26x = 147,921,675.01
  5. Step 5: Solve for x
    x = 147,921,675.01/13,812.26
  6. Step 6: Final answer
    x = 10,709.45

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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.