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Finding the Fourth Proportional to 16,396, 24,594.09 and 4,084

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Solution

The fourth proportional to 16,396, 24,594.09 and 4,084 is: 6,126.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,396 : 24,594.09 = 4,084 : x
  2. Step 2: Convert to fraction form
    16,396/24,594.09 = 4,084/x
  3. Step 3: Cross multiply
    16,396x = 24,594.09 × 4,084
  4. Step 4: Simplify right side
    16,396x = 100,442,263.56
  5. Step 5: Solve for x
    x = 100,442,263.56/16,396
  6. Step 6: Final answer
    x = 6,126.02

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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.