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Finding the Fourth Proportional to 17,048.70, 23,527.20 and 9,596.70

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Solution

The fourth proportional to 17,048.70, 23,527.20 and 9,596.70 is: 13,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,048.70 : 23,527.20 = 9,596.70 : x
  2. Step 2: Convert to fraction form
    17,048.70/23,527.20 = 9,596.70/x
  3. Step 3: Cross multiply
    17,048.70x = 23,527.20 × 9,596.70
  4. Step 4: Simplify right side
    17,048.70x = 225,783,480.24
  5. Step 5: Solve for x
    x = 225,783,480.24/17,048.70
  6. Step 6: Final answer
    x = 13,243.44

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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.