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Finding the Fourth Proportional to 13,382.42, 18,459.81 and 8,074.10

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Solution

The fourth proportional to 13,382.42, 18,459.81 and 8,074.10 is: 11,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.42 : 18,459.81 = 8,074.10 : x
  2. Step 2: Convert to fraction form
    13,382.42/18,459.81 = 8,074.10/x
  3. Step 3: Cross multiply
    13,382.42x = 18,459.81 × 8,074.10
  4. Step 4: Simplify right side
    13,382.42x = 149,046,351.92
  5. Step 5: Solve for x
    x = 149,046,351.92/13,382.42
  6. Step 6: Final answer
    x = 11,137.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.