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Finding the Fourth Proportional to 16,577.96, 24,867.20 and 9,229.12

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Solution

The fourth proportional to 16,577.96, 24,867.20 and 9,229.12 is: 13,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.96 : 24,867.20 = 9,229.12 : x
  2. Step 2: Convert to fraction form
    16,577.96/24,867.20 = 9,229.12/x
  3. Step 3: Cross multiply
    16,577.96x = 24,867.20 × 9,229.12
  4. Step 4: Simplify right side
    16,577.96x = 229,502,372.86
  5. Step 5: Solve for x
    x = 229,502,372.86/16,577.96
  6. Step 6: Final answer
    x = 13,843.82

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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.