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Finding the Fourth Proportional to 13,378.77, 18,464.49 and 8,072.46

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Solution

The fourth proportional to 13,378.77, 18,464.49 and 8,072.46 is: 11,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.77 : 18,464.49 = 8,072.46 : x
  2. Step 2: Convert to fraction form
    13,378.77/18,464.49 = 8,072.46/x
  3. Step 3: Cross multiply
    13,378.77x = 18,464.49 × 8,072.46
  4. Step 4: Simplify right side
    13,378.77x = 149,053,856.95
  5. Step 5: Solve for x
    x = 149,053,856.95/13,378.77
  6. Step 6: Final answer
    x = 11,141.07

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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.