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Finding the Fourth Proportional to 13,382.72, 18,466.26 and 7,414.74

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Solution

The fourth proportional to 13,382.72, 18,466.26 and 7,414.74 is: 10,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.72 : 18,466.26 = 7,414.74 : x
  2. Step 2: Convert to fraction form
    13,382.72/18,466.26 = 7,414.74/x
  3. Step 3: Cross multiply
    13,382.72x = 18,466.26 × 7,414.74
  4. Step 4: Simplify right side
    13,382.72x = 136,922,424.34
  5. Step 5: Solve for x
    x = 136,922,424.34/13,382.72
  6. Step 6: Final answer
    x = 10,231.29

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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.