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Finding the Fourth Proportional to 13,384.87, 18,471.61 and 8,078.66

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Solution

The fourth proportional to 13,384.87, 18,471.61 and 8,078.66 is: 11,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.87 : 18,471.61 = 8,078.66 : x
  2. Step 2: Convert to fraction form
    13,384.87/18,471.61 = 8,078.66/x
  3. Step 3: Cross multiply
    13,384.87x = 18,471.61 × 8,078.66
  4. Step 4: Simplify right side
    13,384.87x = 149,225,856.84
  5. Step 5: Solve for x
    x = 149,225,856.84/13,384.87
  6. Step 6: Final answer
    x = 11,148.85

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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.