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Finding the Fourth Proportional to 16,305.91, 24,431.52 and 9,733.97

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Solution

The fourth proportional to 16,305.91, 24,431.52 and 9,733.97 is: 14,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.91 : 24,431.52 = 9,733.97 : x
  2. Step 2: Convert to fraction form
    16,305.91/24,431.52 = 9,733.97/x
  3. Step 3: Cross multiply
    16,305.91x = 24,431.52 × 9,733.97
  4. Step 4: Simplify right side
    16,305.91x = 237,815,780.32
  5. Step 5: Solve for x
    x = 237,815,780.32/16,305.91
  6. Step 6: Final answer
    x = 14,584.64

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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.