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Finding the Fourth Proportional to 12,816.17, 19,226.82 and 5,420.60

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Solution

The fourth proportional to 12,816.17, 19,226.82 and 5,420.60 is: 8,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.17 : 19,226.82 = 5,420.60 : x
  2. Step 2: Convert to fraction form
    12,816.17/19,226.82 = 5,420.60/x
  3. Step 3: Cross multiply
    12,816.17x = 19,226.82 × 5,420.60
  4. Step 4: Simplify right side
    12,816.17x = 104,220,900.49
  5. Step 5: Solve for x
    x = 104,220,900.49/12,816.17
  6. Step 6: Final answer
    x = 8,131.98

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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.