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Finding the Fourth Proportional to 16,647.98, 22,972.29 and 9,576.68

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Solution

The fourth proportional to 16,647.98, 22,972.29 and 9,576.68 is: 13,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.98 : 22,972.29 = 9,576.68 : x
  2. Step 2: Convert to fraction form
    16,647.98/22,972.29 = 9,576.68/x
  3. Step 3: Cross multiply
    16,647.98x = 22,972.29 × 9,576.68
  4. Step 4: Simplify right side
    16,647.98x = 219,998,270.20
  5. Step 5: Solve for x
    x = 219,998,270.20/16,647.98
  6. Step 6: Final answer
    x = 13,214.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.