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Finding the Fourth Proportional to 13,227.75, 18,254.31 and 7,638.75

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Solution

The fourth proportional to 13,227.75, 18,254.31 and 7,638.75 is: 10,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.75 : 18,254.31 = 7,638.75 : x
  2. Step 2: Convert to fraction form
    13,227.75/18,254.31 = 7,638.75/x
  3. Step 3: Cross multiply
    13,227.75x = 18,254.31 × 7,638.75
  4. Step 4: Simplify right side
    13,227.75x = 139,440,110.51
  5. Step 5: Solve for x
    x = 139,440,110.51/13,227.75
  6. Step 6: Final answer
    x = 10,541.48

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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.