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Finding the Fourth Proportional to 23,205, 34,761.42 and 11,482.44

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Solution

The fourth proportional to 23,205, 34,761.42 and 11,482.44 is: 17,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205 : 34,761.42 = 11,482.44 : x
  2. Step 2: Convert to fraction form
    23,205/34,761.42 = 11,482.44/x
  3. Step 3: Cross multiply
    23,205x = 34,761.42 × 11,482.44
  4. Step 4: Simplify right side
    23,205x = 399,145,919.46
  5. Step 5: Solve for x
    x = 399,145,919.46/23,205
  6. Step 6: Final answer
    x = 17,200.86

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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.