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Finding the Fourth Proportional to 13,810.85, 19,058.31 and 7,841.73

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Solution

The fourth proportional to 13,810.85, 19,058.31 and 7,841.73 is: 10,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.85 : 19,058.31 = 7,841.73 : x
  2. Step 2: Convert to fraction form
    13,810.85/19,058.31 = 7,841.73/x
  3. Step 3: Cross multiply
    13,810.85x = 19,058.31 × 7,841.73
  4. Step 4: Simplify right side
    13,810.85x = 149,450,121.28
  5. Step 5: Solve for x
    x = 149,450,121.28/13,810.85
  6. Step 6: Final answer
    x = 10,821.21

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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.