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Finding the Fourth Proportional to 13,010.41, 17,954.83 and 7,346.16

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Solution

The fourth proportional to 13,010.41, 17,954.83 and 7,346.16 is: 10,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.41 : 17,954.83 = 7,346.16 : x
  2. Step 2: Convert to fraction form
    13,010.41/17,954.83 = 7,346.16/x
  3. Step 3: Cross multiply
    13,010.41x = 17,954.83 × 7,346.16
  4. Step 4: Simplify right side
    13,010.41x = 131,899,021.81
  5. Step 5: Solve for x
    x = 131,899,021.81/13,010.41
  6. Step 6: Final answer
    x = 10,137.96

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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.