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Finding the Fourth Proportional to 17,921.25, 26,869.32 and 8,428.05

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Solution

The fourth proportional to 17,921.25, 26,869.32 and 8,428.05 is: 12,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,921.25 : 26,869.32 = 8,428.05 : x
  2. Step 2: Convert to fraction form
    17,921.25/26,869.32 = 8,428.05/x
  3. Step 3: Cross multiply
    17,921.25x = 26,869.32 × 8,428.05
  4. Step 4: Simplify right side
    17,921.25x = 226,455,972.43
  5. Step 5: Solve for x
    x = 226,455,972.43/17,921.25
  6. Step 6: Final answer
    x = 12,636.17

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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.