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Finding the Fourth Proportional to 16,274, 24,396.52 and 5,883.44

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Solution

The fourth proportional to 16,274, 24,396.52 and 5,883.44 is: 8,819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274 : 24,396.52 = 5,883.44 : x
  2. Step 2: Convert to fraction form
    16,274/24,396.52 = 5,883.44/x
  3. Step 3: Cross multiply
    16,274x = 24,396.52 × 5,883.44
  4. Step 4: Simplify right side
    16,274x = 143,535,461.63
  5. Step 5: Solve for x
    x = 143,535,461.63/16,274
  6. Step 6: Final answer
    x = 8,819.93

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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.