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Finding the Fourth Proportional to 14,231.23, 19,640.18 and 7,859.04

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Solution

The fourth proportional to 14,231.23, 19,640.18 and 7,859.04 is: 10,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.23 : 19,640.18 = 7,859.04 : x
  2. Step 2: Convert to fraction form
    14,231.23/19,640.18 = 7,859.04/x
  3. Step 3: Cross multiply
    14,231.23x = 19,640.18 × 7,859.04
  4. Step 4: Simplify right side
    14,231.23x = 154,352,960.23
  5. Step 5: Solve for x
    x = 154,352,960.23/14,231.23
  6. Step 6: Final answer
    x = 10,846.07

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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.