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Finding the Fourth Proportional to 16,404, 24,606 and 5,319.96

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Solution

The fourth proportional to 16,404, 24,606 and 5,319.96 is: 7,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404 : 24,606 = 5,319.96 : x
  2. Step 2: Convert to fraction form
    16,404/24,606 = 5,319.96/x
  3. Step 3: Cross multiply
    16,404x = 24,606 × 5,319.96
  4. Step 4: Simplify right side
    16,404x = 130,902,935.76
  5. Step 5: Solve for x
    x = 130,902,935.76/16,404
  6. Step 6: Final answer
    x = 7,979.94

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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.