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Finding the Fourth Proportional to 16,661.92, 24,976.32 and 9,269.76

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Solution

The fourth proportional to 16,661.92, 24,976.32 and 9,269.76 is: 13,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,661.92 : 24,976.32 = 9,269.76 : x
  2. Step 2: Convert to fraction form
    16,661.92/24,976.32 = 9,269.76/x
  3. Step 3: Cross multiply
    16,661.92x = 24,976.32 × 9,269.76
  4. Step 4: Simplify right side
    16,661.92x = 231,524,492.08
  5. Step 5: Solve for x
    x = 231,524,492.08/16,661.92
  6. Step 6: Final answer
    x = 13,895.43

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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.