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Finding the Fourth Proportional to 16,649.85, 24,965.64 and 11,390.82

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Solution

The fourth proportional to 16,649.85, 24,965.64 and 11,390.82 is: 17,079.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.85 : 24,965.64 = 11,390.82 : x
  2. Step 2: Convert to fraction form
    16,649.85/24,965.64 = 11,390.82/x
  3. Step 3: Cross multiply
    16,649.85x = 24,965.64 × 11,390.82
  4. Step 4: Simplify right side
    16,649.85x = 284,379,111.42
  5. Step 5: Solve for x
    x = 284,379,111.42/16,649.85
  6. Step 6: Final answer
    x = 17,079.98

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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.