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Finding the Fourth Proportional to 22,309.73, 30,786.04 and 13,357.97

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Solution

The fourth proportional to 22,309.73, 30,786.04 and 13,357.97 is: 18,433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.73 : 30,786.04 = 13,357.97 : x
  2. Step 2: Convert to fraction form
    22,309.73/30,786.04 = 13,357.97/x
  3. Step 3: Cross multiply
    22,309.73x = 30,786.04 × 13,357.97
  4. Step 4: Simplify right side
    22,309.73x = 411,238,998.74
  5. Step 5: Solve for x
    x = 411,238,998.74/22,309.73
  6. Step 6: Final answer
    x = 18,433.17

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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.