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Finding the Fourth Proportional to 13,755.41, 18,983.12 and 7,788.95

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Solution

The fourth proportional to 13,755.41, 18,983.12 and 7,788.95 is: 10,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.41 : 18,983.12 = 7,788.95 : x
  2. Step 2: Convert to fraction form
    13,755.41/18,983.12 = 7,788.95/x
  3. Step 3: Cross multiply
    13,755.41x = 18,983.12 × 7,788.95
  4. Step 4: Simplify right side
    13,755.41x = 147,858,438.66
  5. Step 5: Solve for x
    x = 147,858,438.66/13,755.41
  6. Step 6: Final answer
    x = 10,749.12

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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.