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Finding the Fourth Proportional to 17,011, 25,498.27 and 8,226.55

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Solution

The fourth proportional to 17,011, 25,498.27 and 8,226.55 is: 12,331.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,011 : 25,498.27 = 8,226.55 : x
  2. Step 2: Convert to fraction form
    17,011/25,498.27 = 8,226.55/x
  3. Step 3: Cross multiply
    17,011x = 25,498.27 × 8,226.55
  4. Step 4: Simplify right side
    17,011x = 209,762,793.07
  5. Step 5: Solve for x
    x = 209,762,793.07/17,011
  6. Step 6: Final answer
    x = 12,331.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.