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Finding the Fourth Proportional to 13,057.98, 18,022.23 and 7,755.66

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Solution

The fourth proportional to 13,057.98, 18,022.23 and 7,755.66 is: 10,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.98 : 18,022.23 = 7,755.66 : x
  2. Step 2: Convert to fraction form
    13,057.98/18,022.23 = 7,755.66/x
  3. Step 3: Cross multiply
    13,057.98x = 18,022.23 × 7,755.66
  4. Step 4: Simplify right side
    13,057.98x = 139,774,288.32
  5. Step 5: Solve for x
    x = 139,774,288.32/13,057.98
  6. Step 6: Final answer
    x = 10,704.13

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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.