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Finding the Fourth Proportional to 16,285, 24,427.74 and 5,341

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Solution

The fourth proportional to 16,285, 24,427.74 and 5,341 is: 8,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285 : 24,427.74 = 5,341 : x
  2. Step 2: Convert to fraction form
    16,285/24,427.74 = 5,341/x
  3. Step 3: Cross multiply
    16,285x = 24,427.74 × 5,341
  4. Step 4: Simplify right side
    16,285x = 130,468,559.34
  5. Step 5: Solve for x
    x = 130,468,559.34/16,285
  6. Step 6: Final answer
    x = 8,011.58

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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.