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Finding the Fourth Proportional to 24,574.56, 33,912.92 and 13,964.20

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Solution

The fourth proportional to 24,574.56, 33,912.92 and 13,964.20 is: 19,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574.56 : 33,912.92 = 13,964.20 : x
  2. Step 2: Convert to fraction form
    24,574.56/33,912.92 = 13,964.20/x
  3. Step 3: Cross multiply
    24,574.56x = 33,912.92 × 13,964.20
  4. Step 4: Simplify right side
    24,574.56x = 473,566,797.46
  5. Step 5: Solve for x
    x = 473,566,797.46/24,574.56
  6. Step 6: Final answer
    x = 19,270.61

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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.