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Finding the Fourth Proportional to 12,817.40, 19,222.50 and 6,243.80

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Solution

The fourth proportional to 12,817.40, 19,222.50 and 6,243.80 is: 9,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.40 : 19,222.50 = 6,243.80 : x
  2. Step 2: Convert to fraction form
    12,817.40/19,222.50 = 6,243.80/x
  3. Step 3: Cross multiply
    12,817.40x = 19,222.50 × 6,243.80
  4. Step 4: Simplify right side
    12,817.40x = 120,021,445.50
  5. Step 5: Solve for x
    x = 120,021,445.50/12,817.40
  6. Step 6: Final answer
    x = 9,363.95

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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.