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Finding the Fourth Proportional to 16,647.66, 24,966 and 5,551.29

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Solution

The fourth proportional to 16,647.66, 24,966 and 5,551.29 is: 8,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.66 : 24,966 = 5,551.29 : x
  2. Step 2: Convert to fraction form
    16,647.66/24,966 = 5,551.29/x
  3. Step 3: Cross multiply
    16,647.66x = 24,966 × 5,551.29
  4. Step 4: Simplify right side
    16,647.66x = 138,593,506.14
  5. Step 5: Solve for x
    x = 138,593,506.14/16,647.66
  6. Step 6: Final answer
    x = 8,325.10

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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.