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Finding the Fourth Proportional to 12,436.80, 17,162.52 and 6,847.80

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Solution

The fourth proportional to 12,436.80, 17,162.52 and 6,847.80 is: 9,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.80 : 17,162.52 = 6,847.80 : x
  2. Step 2: Convert to fraction form
    12,436.80/17,162.52 = 6,847.80/x
  3. Step 3: Cross multiply
    12,436.80x = 17,162.52 × 6,847.80
  4. Step 4: Simplify right side
    12,436.80x = 117,525,504.46
  5. Step 5: Solve for x
    x = 117,525,504.46/12,436.80
  6. Step 6: Final answer
    x = 9,449.82

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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.