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Finding the Fourth Proportional to 16,904.10, 23,329.17 and 9,352.20

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Solution

The fourth proportional to 16,904.10, 23,329.17 and 9,352.20 is: 12,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,904.10 : 23,329.17 = 9,352.20 : x
  2. Step 2: Convert to fraction form
    16,904.10/23,329.17 = 9,352.20/x
  3. Step 3: Cross multiply
    16,904.10x = 23,329.17 × 9,352.20
  4. Step 4: Simplify right side
    16,904.10x = 218,179,063.67
  5. Step 5: Solve for x
    x = 218,179,063.67/16,904.10
  6. Step 6: Final answer
    x = 12,906.87

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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.