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Finding the Fourth Proportional to 13,717.49, 18,935.39 and 8,419.51

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Solution

The fourth proportional to 13,717.49, 18,935.39 and 8,419.51 is: 11,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.49 : 18,935.39 = 8,419.51 : x
  2. Step 2: Convert to fraction form
    13,717.49/18,935.39 = 8,419.51/x
  3. Step 3: Cross multiply
    13,717.49x = 18,935.39 × 8,419.51
  4. Step 4: Simplify right side
    13,717.49x = 159,426,568.68
  5. Step 5: Solve for x
    x = 159,426,568.68/13,717.49
  6. Step 6: Final answer
    x = 11,622.14

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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.