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Finding the Fourth Proportional to 14,383.63, 19,844.65 and 8,411.07

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Solution

The fourth proportional to 14,383.63, 19,844.65 and 8,411.07 is: 11,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.63 : 19,844.65 = 8,411.07 : x
  2. Step 2: Convert to fraction form
    14,383.63/19,844.65 = 8,411.07/x
  3. Step 3: Cross multiply
    14,383.63x = 19,844.65 × 8,411.07
  4. Step 4: Simplify right side
    14,383.63x = 166,914,620.02
  5. Step 5: Solve for x
    x = 166,914,620.02/14,383.63
  6. Step 6: Final answer
    x = 11,604.49

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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.