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Finding the Fourth Proportional to 17,326.24, 25,983.68 and 5,636.64

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Solution

The fourth proportional to 17,326.24, 25,983.68 and 5,636.64 is: 8,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,326.24 : 25,983.68 = 5,636.64 : x
  2. Step 2: Convert to fraction form
    17,326.24/25,983.68 = 5,636.64/x
  3. Step 3: Cross multiply
    17,326.24x = 25,983.68 × 5,636.64
  4. Step 4: Simplify right side
    17,326.24x = 146,460,650.04
  5. Step 5: Solve for x
    x = 146,460,650.04/17,326.24
  6. Step 6: Final answer
    x = 8,453.11

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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.