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Finding the Fourth Proportional to 17,200.76, 23,728.30 and 11,235.92

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Solution

The fourth proportional to 17,200.76, 23,728.30 and 11,235.92 is: 15,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.76 : 23,728.30 = 11,235.92 : x
  2. Step 2: Convert to fraction form
    17,200.76/23,728.30 = 11,235.92/x
  3. Step 3: Cross multiply
    17,200.76x = 23,728.30 × 11,235.92
  4. Step 4: Simplify right side
    17,200.76x = 266,609,133.80
  5. Step 5: Solve for x
    x = 266,609,133.80/17,200.76
  6. Step 6: Final answer
    x = 15,499.85

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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.