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Finding the Fourth Proportional to 13,077, 18,046.44 and 7,488

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Solution

The fourth proportional to 13,077, 18,046.44 and 7,488 is: 10,333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077 : 18,046.44 = 7,488 : x
  2. Step 2: Convert to fraction form
    13,077/18,046.44 = 7,488/x
  3. Step 3: Cross multiply
    13,077x = 18,046.44 × 7,488
  4. Step 4: Simplify right side
    13,077x = 135,131,742.72
  5. Step 5: Solve for x
    x = 135,131,742.72/13,077
  6. Step 6: Final answer
    x = 10,333.54

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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.