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Finding the Fourth Proportional to 16,205.76, 24,354.24 and 9,633.12

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Solution

The fourth proportional to 16,205.76, 24,354.24 and 9,633.12 is: 14,476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.76 : 24,354.24 = 9,633.12 : x
  2. Step 2: Convert to fraction form
    16,205.76/24,354.24 = 9,633.12/x
  3. Step 3: Cross multiply
    16,205.76x = 24,354.24 × 9,633.12
  4. Step 4: Simplify right side
    16,205.76x = 234,607,316.43
  5. Step 5: Solve for x
    x = 234,607,316.43/16,205.76
  6. Step 6: Final answer
    x = 14,476.79

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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.