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Finding the Fourth Proportional to 17,917.84, 26,888.47 and 6,824.64

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Solution

The fourth proportional to 17,917.84, 26,888.47 and 6,824.64 is: 10,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,917.84 : 26,888.47 = 6,824.64 : x
  2. Step 2: Convert to fraction form
    17,917.84/26,888.47 = 6,824.64/x
  3. Step 3: Cross multiply
    17,917.84x = 26,888.47 × 6,824.64
  4. Step 4: Simplify right side
    17,917.84x = 183,504,127.90
  5. Step 5: Solve for x
    x = 183,504,127.90/17,917.84
  6. Step 6: Final answer
    x = 10,241.42

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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.