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Finding the Fourth Proportional to 13,810.22, 19,057.43 and 7,841.11

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Solution

The fourth proportional to 13,810.22, 19,057.43 and 7,841.11 is: 10,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.22 : 19,057.43 = 7,841.11 : x
  2. Step 2: Convert to fraction form
    13,810.22/19,057.43 = 7,841.11/x
  3. Step 3: Cross multiply
    13,810.22x = 19,057.43 × 7,841.11
  4. Step 4: Simplify right side
    13,810.22x = 149,431,270.45
  5. Step 5: Solve for x
    x = 149,431,270.45/13,810.22
  6. Step 6: Final answer
    x = 10,820.34

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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.