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Finding the Fourth Proportional to 13,346.78, 18,416.94 and 7,377.63

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Solution

The fourth proportional to 13,346.78, 18,416.94 and 7,377.63 is: 10,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,346.78 : 18,416.94 = 7,377.63 : x
  2. Step 2: Convert to fraction form
    13,346.78/18,416.94 = 7,377.63/x
  3. Step 3: Cross multiply
    13,346.78x = 18,416.94 × 7,377.63
  4. Step 4: Simplify right side
    13,346.78x = 135,873,369.05
  5. Step 5: Solve for x
    x = 135,873,369.05/13,346.78
  6. Step 6: Final answer
    x = 10,180.24

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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.