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Finding the Fourth Proportional to 13,812.96, 19,058.72 and 7,843.20

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Solution

The fourth proportional to 13,812.96, 19,058.72 and 7,843.20 is: 10,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.96 : 19,058.72 = 7,843.20 : x
  2. Step 2: Convert to fraction form
    13,812.96/19,058.72 = 7,843.20/x
  3. Step 3: Cross multiply
    13,812.96x = 19,058.72 × 7,843.20
  4. Step 4: Simplify right side
    13,812.96x = 149,481,352.70
  5. Step 5: Solve for x
    x = 149,481,352.70/13,812.96
  6. Step 6: Final answer
    x = 10,821.82

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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.