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Finding the Fourth Proportional to 17,762.37, 24,512.81 and 10,211.09

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Solution

The fourth proportional to 17,762.37, 24,512.81 and 10,211.09 is: 14,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.37 : 24,512.81 = 10,211.09 : x
  2. Step 2: Convert to fraction form
    17,762.37/24,512.81 = 10,211.09/x
  3. Step 3: Cross multiply
    17,762.37x = 24,512.81 × 10,211.09
  4. Step 4: Simplify right side
    17,762.37x = 250,302,335.44
  5. Step 5: Solve for x
    x = 250,302,335.44/17,762.37
  6. Step 6: Final answer
    x = 14,091.72

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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.