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Finding the Fourth Proportional to 17,464.48, 26,178 and 8,680.48

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Solution

The fourth proportional to 17,464.48, 26,178 and 8,680.48 is: 13,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,464.48 : 26,178 = 8,680.48 : x
  2. Step 2: Convert to fraction form
    17,464.48/26,178 = 8,680.48/x
  3. Step 3: Cross multiply
    17,464.48x = 26,178 × 8,680.48
  4. Step 4: Simplify right side
    17,464.48x = 227,237,605.44
  5. Step 5: Solve for x
    x = 227,237,605.44/17,464.48
  6. Step 6: Final answer
    x = 13,011.42

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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.