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Finding the Fourth Proportional to 16,617.96, 24,938.28 and 9,217.80

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Solution

The fourth proportional to 16,617.96, 24,938.28 and 9,217.80 is: 13,832.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,617.96 : 24,938.28 = 9,217.80 : x
  2. Step 2: Convert to fraction form
    16,617.96/24,938.28 = 9,217.80/x
  3. Step 3: Cross multiply
    16,617.96x = 24,938.28 × 9,217.80
  4. Step 4: Simplify right side
    16,617.96x = 229,876,077.38
  5. Step 5: Solve for x
    x = 229,876,077.38/16,617.96
  6. Step 6: Final answer
    x = 13,832.99

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1.5x scale

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.