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Finding the Fourth Proportional to 24,406.42, 33,680.92 and 13,228.42

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Solution

The fourth proportional to 24,406.42, 33,680.92 and 13,228.42 is: 18,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,406.42 : 33,680.92 = 13,228.42 : x
  2. Step 2: Convert to fraction form
    24,406.42/33,680.92 = 13,228.42/x
  3. Step 3: Cross multiply
    24,406.42x = 33,680.92 × 13,228.42
  4. Step 4: Simplify right side
    24,406.42x = 445,545,355.75
  5. Step 5: Solve for x
    x = 445,545,355.75/24,406.42
  6. Step 6: Final answer
    x = 18,255.25

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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.