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Finding the Fourth Proportional to 13,382.67, 18,460.16 and 8,074.35

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Solution

The fourth proportional to 13,382.67, 18,460.16 and 8,074.35 is: 11,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.67 : 18,460.16 = 8,074.35 : x
  2. Step 2: Convert to fraction form
    13,382.67/18,460.16 = 8,074.35/x
  3. Step 3: Cross multiply
    13,382.67x = 18,460.16 × 8,074.35
  4. Step 4: Simplify right side
    13,382.67x = 149,053,752.52
  5. Step 5: Solve for x
    x = 149,053,752.52/13,382.67
  6. Step 6: Final answer
    x = 11,137.82

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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.