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Finding the Fourth Proportional to 13,694.74, 18,898.31 and 7,645.19

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Solution

The fourth proportional to 13,694.74, 18,898.31 and 7,645.19 is: 10,550.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.74 : 18,898.31 = 7,645.19 : x
  2. Step 2: Convert to fraction form
    13,694.74/18,898.31 = 7,645.19/x
  3. Step 3: Cross multiply
    13,694.74x = 18,898.31 × 7,645.19
  4. Step 4: Simplify right side
    13,694.74x = 144,481,095.25
  5. Step 5: Solve for x
    x = 144,481,095.25/13,694.74
  6. Step 6: Final answer
    x = 10,550.12

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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.