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Finding the Fourth Proportional to 16,022.96, 24,034.45 and 8,124.25

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Solution

The fourth proportional to 16,022.96, 24,034.45 and 8,124.25 is: 12,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.96 : 24,034.45 = 8,124.25 : x
  2. Step 2: Convert to fraction form
    16,022.96/24,034.45 = 8,124.25/x
  3. Step 3: Cross multiply
    16,022.96x = 24,034.45 × 8,124.25
  4. Step 4: Simplify right side
    16,022.96x = 195,261,837.46
  5. Step 5: Solve for x
    x = 195,261,837.46/16,022.96
  6. Step 6: Final answer
    x = 12,186.37

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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.