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Finding the Fourth Proportional to 13,657.98, 18,846.57 and 7,689.54

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Solution

The fourth proportional to 13,657.98, 18,846.57 and 7,689.54 is: 10,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.98 : 18,846.57 = 7,689.54 : x
  2. Step 2: Convert to fraction form
    13,657.98/18,846.57 = 7,689.54/x
  3. Step 3: Cross multiply
    13,657.98x = 18,846.57 × 7,689.54
  4. Step 4: Simplify right side
    13,657.98x = 144,921,453.88
  5. Step 5: Solve for x
    x = 144,921,453.88/13,657.98
  6. Step 6: Final answer
    x = 10,610.75

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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.