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Finding the Fourth Proportional to 16,024, 24,036 and 5,634.56

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Solution

The fourth proportional to 16,024, 24,036 and 5,634.56 is: 8,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024 : 24,036 = 5,634.56 : x
  2. Step 2: Convert to fraction form
    16,024/24,036 = 5,634.56/x
  3. Step 3: Cross multiply
    16,024x = 24,036 × 5,634.56
  4. Step 4: Simplify right side
    16,024x = 135,432,284.16
  5. Step 5: Solve for x
    x = 135,432,284.16/16,024
  6. Step 6: Final answer
    x = 8,451.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.