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Finding the Fourth Proportional to 13,077.21, 18,046.86 and 7,412.54

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Solution

The fourth proportional to 13,077.21, 18,046.86 and 7,412.54 is: 10,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.21 : 18,046.86 = 7,412.54 : x
  2. Step 2: Convert to fraction form
    13,077.21/18,046.86 = 7,412.54/x
  3. Step 3: Cross multiply
    13,077.21x = 18,046.86 × 7,412.54
  4. Step 4: Simplify right side
    13,077.21x = 133,773,071.62
  5. Step 5: Solve for x
    x = 133,773,071.62/13,077.21
  6. Step 6: Final answer
    x = 10,229.48

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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.