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Finding the Fourth Proportional to 13,816.25, 19,065.81 and 7,847.83

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Solution

The fourth proportional to 13,816.25, 19,065.81 and 7,847.83 is: 10,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.25 : 19,065.81 = 7,847.83 : x
  2. Step 2: Convert to fraction form
    13,816.25/19,065.81 = 7,847.83/x
  3. Step 3: Cross multiply
    13,816.25x = 19,065.81 × 7,847.83
  4. Step 4: Simplify right side
    13,816.25x = 149,625,235.69
  5. Step 5: Solve for x
    x = 149,625,235.69/13,816.25
  6. Step 6: Final answer
    x = 10,829.66

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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.