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Finding the Fourth Proportional to 17,236.50, 23,786.37 and 9,784.50

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Solution

The fourth proportional to 17,236.50, 23,786.37 and 9,784.50 is: 13,502.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,236.50 : 23,786.37 = 9,784.50 : x
  2. Step 2: Convert to fraction form
    17,236.50/23,786.37 = 9,784.50/x
  3. Step 3: Cross multiply
    17,236.50x = 23,786.37 × 9,784.50
  4. Step 4: Simplify right side
    17,236.50x = 232,737,737.27
  5. Step 5: Solve for x
    x = 232,737,737.27/17,236.50
  6. Step 6: Final answer
    x = 13,502.61

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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.