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Finding the Fourth Proportional to 16,811.96, 23,200.16 and 9,257.90

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Solution

The fourth proportional to 16,811.96, 23,200.16 and 9,257.90 is: 12,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.96 : 23,200.16 = 9,257.90 : x
  2. Step 2: Convert to fraction form
    16,811.96/23,200.16 = 9,257.90/x
  3. Step 3: Cross multiply
    16,811.96x = 23,200.16 × 9,257.90
  4. Step 4: Simplify right side
    16,811.96x = 214,784,598.97
  5. Step 5: Solve for x
    x = 214,784,598.97/16,811.96
  6. Step 6: Final answer
    x = 12,775.71

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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.