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Finding the Fourth Proportional to 22,006.89, 32,995.73 and 7,965.08

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Solution

The fourth proportional to 22,006.89, 32,995.73 and 7,965.08 is: 11,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006.89 : 32,995.73 = 7,965.08 : x
  2. Step 2: Convert to fraction form
    22,006.89/32,995.73 = 7,965.08/x
  3. Step 3: Cross multiply
    22,006.89x = 32,995.73 × 7,965.08
  4. Step 4: Simplify right side
    22,006.89x = 262,813,607.78
  5. Step 5: Solve for x
    x = 262,813,607.78/22,006.89
  6. Step 6: Final answer
    x = 11,942.33

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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.