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Finding the Fourth Proportional to 16,815.84, 23,205.96 and 9,363.84

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Solution

The fourth proportional to 16,815.84, 23,205.96 and 9,363.84 is: 12,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,815.84 : 23,205.96 = 9,363.84 : x
  2. Step 2: Convert to fraction form
    16,815.84/23,205.96 = 9,363.84/x
  3. Step 3: Cross multiply
    16,815.84x = 23,205.96 × 9,363.84
  4. Step 4: Simplify right side
    16,815.84x = 217,296,896.49
  5. Step 5: Solve for x
    x = 217,296,896.49/16,815.84
  6. Step 6: Final answer
    x = 12,922.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.