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Finding the Fourth Proportional to 16,649.66, 24,969 and 5,553.29

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Solution

The fourth proportional to 16,649.66, 24,969 and 5,553.29 is: 8,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.66 : 24,969 = 5,553.29 : x
  2. Step 2: Convert to fraction form
    16,649.66/24,969 = 5,553.29/x
  3. Step 3: Cross multiply
    16,649.66x = 24,969 × 5,553.29
  4. Step 4: Simplify right side
    16,649.66x = 138,660,098.01
  5. Step 5: Solve for x
    x = 138,660,098.01/16,649.66
  6. Step 6: Final answer
    x = 8,328.10

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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.