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Finding the Fourth Proportional to 13,745.66, 18,977.59 and 9,446.15

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Solution

The fourth proportional to 13,745.66, 18,977.59 and 9,446.15 is: 13,041.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.66 : 18,977.59 = 9,446.15 : x
  2. Step 2: Convert to fraction form
    13,745.66/18,977.59 = 9,446.15/x
  3. Step 3: Cross multiply
    13,745.66x = 18,977.59 × 9,446.15
  4. Step 4: Simplify right side
    13,745.66x = 179,265,221.03
  5. Step 5: Solve for x
    x = 179,265,221.03/13,745.66
  6. Step 6: Final answer
    x = 13,041.59

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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.