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Finding the Fourth Proportional to 12,029.96, 18,024.30 and 10,812.56

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Solution

The fourth proportional to 12,029.96, 18,024.30 and 10,812.56 is: 16,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.96 : 18,024.30 = 10,812.56 : x
  2. Step 2: Convert to fraction form
    12,029.96/18,024.30 = 10,812.56/x
  3. Step 3: Cross multiply
    12,029.96x = 18,024.30 × 10,812.56
  4. Step 4: Simplify right side
    12,029.96x = 194,888,825.21
  5. Step 5: Solve for x
    x = 194,888,825.21/12,029.96
  6. Step 6: Final answer
    x = 16,200.29

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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.