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Finding the Fourth Proportional to 14,231.67, 19,639.59 and 7,858.26

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Solution

The fourth proportional to 14,231.67, 19,639.59 and 7,858.26 is: 10,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.67 : 19,639.59 = 7,858.26 : x
  2. Step 2: Convert to fraction form
    14,231.67/19,639.59 = 7,858.26/x
  3. Step 3: Cross multiply
    14,231.67x = 19,639.59 × 7,858.26
  4. Step 4: Simplify right side
    14,231.67x = 154,332,975.04
  5. Step 5: Solve for x
    x = 154,332,975.04/14,231.67
  6. Step 6: Final answer
    x = 10,844.34

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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.