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Finding the Fourth Proportional to 22,605.24, 33,896.93 and 7,808.97

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Solution

The fourth proportional to 22,605.24, 33,896.93 and 7,808.97 is: 11,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.24 : 33,896.93 = 7,808.97 : x
  2. Step 2: Convert to fraction form
    22,605.24/33,896.93 = 7,808.97/x
  3. Step 3: Cross multiply
    22,605.24x = 33,896.93 × 7,808.97
  4. Step 4: Simplify right side
    22,605.24x = 264,700,070.42
  5. Step 5: Solve for x
    x = 264,700,070.42/22,605.24
  6. Step 6: Final answer
    x = 11,709.68

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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.