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Finding the Fourth Proportional to 13,829.87, 19,083.25 and 7,860.26

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Solution

The fourth proportional to 13,829.87, 19,083.25 and 7,860.26 is: 10,846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.87 : 19,083.25 = 7,860.26 : x
  2. Step 2: Convert to fraction form
    13,829.87/19,083.25 = 7,860.26/x
  3. Step 3: Cross multiply
    13,829.87x = 19,083.25 × 7,860.26
  4. Step 4: Simplify right side
    13,829.87x = 149,999,306.65
  5. Step 5: Solve for x
    x = 149,999,306.65/13,829.87
  6. Step 6: Final answer
    x = 10,846.04

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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.