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Finding the Fourth Proportional to 12,817.80, 19,226.70 and 5,797.80

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Solution

The fourth proportional to 12,817.80, 19,226.70 and 5,797.80 is: 8,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.80 : 19,226.70 = 5,797.80 : x
  2. Step 2: Convert to fraction form
    12,817.80/19,226.70 = 5,797.80/x
  3. Step 3: Cross multiply
    12,817.80x = 19,226.70 × 5,797.80
  4. Step 4: Simplify right side
    12,817.80x = 111,472,561.26
  5. Step 5: Solve for x
    x = 111,472,561.26/12,817.80
  6. Step 6: Final answer
    x = 8,696.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.