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Finding the Fourth Proportional to 14,416.58, 19,883.48 and 9,382.43

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Solution

The fourth proportional to 14,416.58, 19,883.48 and 9,382.43 is: 12,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.58 : 19,883.48 = 9,382.43 : x
  2. Step 2: Convert to fraction form
    14,416.58/19,883.48 = 9,382.43/x
  3. Step 3: Cross multiply
    14,416.58x = 19,883.48 × 9,382.43
  4. Step 4: Simplify right side
    14,416.58x = 186,555,362.05
  5. Step 5: Solve for x
    x = 186,555,362.05/14,416.58
  6. Step 6: Final answer
    x = 12,940.33

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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.