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Finding the Fourth Proportional to 12,817.80, 19,194.30 and 10,225.80

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Solution

The fourth proportional to 12,817.80, 19,194.30 and 10,225.80 is: 15,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.80 : 19,194.30 = 10,225.80 : x
  2. Step 2: Convert to fraction form
    12,817.80/19,194.30 = 10,225.80/x
  3. Step 3: Cross multiply
    12,817.80x = 19,194.30 × 10,225.80
  4. Step 4: Simplify right side
    12,817.80x = 196,277,072.94
  5. Step 5: Solve for x
    x = 196,277,072.94/12,817.80
  6. Step 6: Final answer
    x = 15,312.85

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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.