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Finding the Fourth Proportional to 13,035.09, 17,990.73 and 7,731.75

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Solution

The fourth proportional to 13,035.09, 17,990.73 and 7,731.75 is: 10,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.09 : 17,990.73 = 7,731.75 : x
  2. Step 2: Convert to fraction form
    13,035.09/17,990.73 = 7,731.75/x
  3. Step 3: Cross multiply
    13,035.09x = 17,990.73 × 7,731.75
  4. Step 4: Simplify right side
    13,035.09x = 139,099,826.68
  5. Step 5: Solve for x
    x = 139,099,826.68/13,035.09
  6. Step 6: Final answer
    x = 10,671.18

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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.