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Finding the Fourth Proportional to 16,649.65, 24,975.43 and 6,261.49

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Solution

The fourth proportional to 16,649.65, 24,975.43 and 6,261.49 is: 9,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.65 : 24,975.43 = 6,261.49 : x
  2. Step 2: Convert to fraction form
    16,649.65/24,975.43 = 6,261.49/x
  3. Step 3: Cross multiply
    16,649.65x = 24,975.43 × 6,261.49
  4. Step 4: Simplify right side
    16,649.65x = 156,383,280.31
  5. Step 5: Solve for x
    x = 156,383,280.31/16,649.65
  6. Step 6: Final answer
    x = 9,392.59

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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.