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Finding the Fourth Proportional to 13,038.56, 17,993.51 and 7,731.44

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Solution

The fourth proportional to 13,038.56, 17,993.51 and 7,731.44 is: 10,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.56 : 17,993.51 = 7,731.44 : x
  2. Step 2: Convert to fraction form
    13,038.56/17,993.51 = 7,731.44/x
  3. Step 3: Cross multiply
    13,038.56x = 17,993.51 × 7,731.44
  4. Step 4: Simplify right side
    13,038.56x = 139,115,614.33
  5. Step 5: Solve for x
    x = 139,115,614.33/13,038.56
  6. Step 6: Final answer
    x = 10,669.56

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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.