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Finding the Fourth Proportional to 13,398.36, 18,490.56 and 7,734.13

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Solution

The fourth proportional to 13,398.36, 18,490.56 and 7,734.13 is: 10,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.36 : 18,490.56 = 7,734.13 : x
  2. Step 2: Convert to fraction form
    13,398.36/18,490.56 = 7,734.13/x
  3. Step 3: Cross multiply
    13,398.36x = 18,490.56 × 7,734.13
  4. Step 4: Simplify right side
    13,398.36x = 143,008,467.10
  5. Step 5: Solve for x
    x = 143,008,467.10/13,398.36
  6. Step 6: Final answer
    x = 10,673.58

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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.