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Finding the Fourth Proportional to 17,914.06, 26,878.83 and 6,824.08

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Solution

The fourth proportional to 17,914.06, 26,878.83 and 6,824.08 is: 10,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,914.06 : 26,878.83 = 6,824.08 : x
  2. Step 2: Convert to fraction form
    17,914.06/26,878.83 = 6,824.08/x
  3. Step 3: Cross multiply
    17,914.06x = 26,878.83 × 6,824.08
  4. Step 4: Simplify right side
    17,914.06x = 183,423,286.23
  5. Step 5: Solve for x
    x = 183,423,286.23/17,914.06
  6. Step 6: Final answer
    x = 10,239.07

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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.