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Finding the Fourth Proportional to 13,010.37, 17,954.16 and 7,041.90

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Solution

The fourth proportional to 13,010.37, 17,954.16 and 7,041.90 is: 9,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.37 : 17,954.16 = 7,041.90 : x
  2. Step 2: Convert to fraction form
    13,010.37/17,954.16 = 7,041.90/x
  3. Step 3: Cross multiply
    13,010.37x = 17,954.16 × 7,041.90
  4. Step 4: Simplify right side
    13,010.37x = 126,431,399.30
  5. Step 5: Solve for x
    x = 126,431,399.30/13,010.37
  6. Step 6: Final answer
    x = 9,717.74

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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.