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Finding the Fourth Proportional to 16,619, 24,929.94 and 4,307

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Solution

The fourth proportional to 16,619, 24,929.94 and 4,307 is: 6,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,619 : 24,929.94 = 4,307 : x
  2. Step 2: Convert to fraction form
    16,619/24,929.94 = 4,307/x
  3. Step 3: Cross multiply
    16,619x = 24,929.94 × 4,307
  4. Step 4: Simplify right side
    16,619x = 107,373,251.58
  5. Step 5: Solve for x
    x = 107,373,251.58/16,619
  6. Step 6: Final answer
    x = 6,460.87

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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.