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Finding the Fourth Proportional to 12,820.50, 19,226.12 and 5,425.56

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Solution

The fourth proportional to 12,820.50, 19,226.12 and 5,425.56 is: 8,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.50 : 19,226.12 = 5,425.56 : x
  2. Step 2: Convert to fraction form
    12,820.50/19,226.12 = 5,425.56/x
  3. Step 3: Cross multiply
    12,820.50x = 19,226.12 × 5,425.56
  4. Step 4: Simplify right side
    12,820.50x = 104,312,440.50
  5. Step 5: Solve for x
    x = 104,312,440.50/12,820.50
  6. Step 6: Final answer
    x = 8,136.38

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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.