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Finding the Fourth Proportional to 16,164.07, 24,246 and 4,156.18

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Solution

The fourth proportional to 16,164.07, 24,246 and 4,156.18 is: 6,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.07 : 24,246 = 4,156.18 : x
  2. Step 2: Convert to fraction form
    16,164.07/24,246 = 4,156.18/x
  3. Step 3: Cross multiply
    16,164.07x = 24,246 × 4,156.18
  4. Step 4: Simplify right side
    16,164.07x = 100,770,679.67
  5. Step 5: Solve for x
    x = 100,770,679.67/16,164.07
  6. Step 6: Final answer
    x = 6,234.24

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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.