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Finding the Fourth Proportional to 13,042.31, 17,992.41 and 7,735.19

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Solution

The fourth proportional to 13,042.31, 17,992.41 and 7,735.19 is: 10,671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.31 : 17,992.41 = 7,735.19 : x
  2. Step 2: Convert to fraction form
    13,042.31/17,992.41 = 7,735.19/x
  3. Step 3: Cross multiply
    13,042.31x = 17,992.41 × 7,735.19
  4. Step 4: Simplify right side
    13,042.31x = 139,174,709.91
  5. Step 5: Solve for x
    x = 139,174,709.91/13,042.31
  6. Step 6: Final answer
    x = 10,671.02

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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.