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Finding the Fourth Proportional to 17,464.80, 26,211.60 and 8,119.20

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Solution

The fourth proportional to 17,464.80, 26,211.60 and 8,119.20 is: 12,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,464.80 : 26,211.60 = 8,119.20 : x
  2. Step 2: Convert to fraction form
    17,464.80/26,211.60 = 8,119.20/x
  3. Step 3: Cross multiply
    17,464.80x = 26,211.60 × 8,119.20
  4. Step 4: Simplify right side
    17,464.80x = 212,817,222.72
  5. Step 5: Solve for x
    x = 212,817,222.72/17,464.80
  6. Step 6: Final answer
    x = 12,185.49

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Why These Related Problems?

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