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Finding the Fourth Proportional to 13,886.89, 19,163.43 and 7,920.48

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Solution

The fourth proportional to 13,886.89, 19,163.43 and 7,920.48 is: 10,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.89 : 19,163.43 = 7,920.48 : x
  2. Step 2: Convert to fraction form
    13,886.89/19,163.43 = 7,920.48/x
  3. Step 3: Cross multiply
    13,886.89x = 19,163.43 × 7,920.48
  4. Step 4: Simplify right side
    13,886.89x = 151,783,583.85
  5. Step 5: Solve for x
    x = 151,783,583.85/13,886.89
  6. Step 6: Final answer
    x = 10,929.99

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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.