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Finding the Fourth Proportional to 16,492, 24,739.44 and 4,180

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Solution

The fourth proportional to 16,492, 24,739.44 and 4,180 is: 6,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492 : 24,739.44 = 4,180 : x
  2. Step 2: Convert to fraction form
    16,492/24,739.44 = 4,180/x
  3. Step 3: Cross multiply
    16,492x = 24,739.44 × 4,180
  4. Step 4: Simplify right side
    16,492x = 103,410,859.20
  5. Step 5: Solve for x
    x = 103,410,859.20/16,492
  6. Step 6: Final answer
    x = 6,270.36

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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.