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Finding the Fourth Proportional to 13,665.08, 18,856.86 and 8,075

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Solution

The fourth proportional to 13,665.08, 18,856.86 and 8,075 is: 11,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.08 : 18,856.86 = 8,075 : x
  2. Step 2: Convert to fraction form
    13,665.08/18,856.86 = 8,075/x
  3. Step 3: Cross multiply
    13,665.08x = 18,856.86 × 8,075
  4. Step 4: Simplify right side
    13,665.08x = 152,269,144.50
  5. Step 5: Solve for x
    x = 152,269,144.50/13,665.08
  6. Step 6: Final answer
    x = 11,142.94

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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.