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Finding the Fourth Proportional to 16,422.80, 24,635.64 and 6,034.64

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Solution

The fourth proportional to 16,422.80, 24,635.64 and 6,034.64 is: 9,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.80 : 24,635.64 = 6,034.64 : x
  2. Step 2: Convert to fraction form
    16,422.80/24,635.64 = 6,034.64/x
  3. Step 3: Cross multiply
    16,422.80x = 24,635.64 × 6,034.64
  4. Step 4: Simplify right side
    16,422.80x = 148,667,218.57
  5. Step 5: Solve for x
    x = 148,667,218.57/16,422.80
  6. Step 6: Final answer
    x = 9,052.49

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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.