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Finding the Fourth Proportional to 12,354.49, 18,512.32 and 9,550.19

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Solution

The fourth proportional to 12,354.49, 18,512.32 and 9,550.19 is: 14,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.49 : 18,512.32 = 9,550.19 : x
  2. Step 2: Convert to fraction form
    12,354.49/18,512.32 = 9,550.19/x
  3. Step 3: Cross multiply
    12,354.49x = 18,512.32 × 9,550.19
  4. Step 4: Simplify right side
    12,354.49x = 176,796,195.75
  5. Step 5: Solve for x
    x = 176,796,195.75/12,354.49
  6. Step 6: Final answer
    x = 14,310.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.