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Finding the Fourth Proportional to 17,022.54, 25,524 and 6,622.14

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Solution

The fourth proportional to 17,022.54, 25,524 and 6,622.14 is: 9,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.54 : 25,524 = 6,622.14 : x
  2. Step 2: Convert to fraction form
    17,022.54/25,524 = 6,622.14/x
  3. Step 3: Cross multiply
    17,022.54x = 25,524 × 6,622.14
  4. Step 4: Simplify right side
    17,022.54x = 169,023,501.36
  5. Step 5: Solve for x
    x = 169,023,501.36/17,022.54
  6. Step 6: Final answer
    x = 9,929.39

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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.