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Finding the Fourth Proportional to 17,118.48, 23,622.36 and 9,666

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Solution

The fourth proportional to 17,118.48, 23,622.36 and 9,666 is: 13,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,118.48 : 23,622.36 = 9,666 : x
  2. Step 2: Convert to fraction form
    17,118.48/23,622.36 = 9,666/x
  3. Step 3: Cross multiply
    17,118.48x = 23,622.36 × 9,666
  4. Step 4: Simplify right side
    17,118.48x = 228,333,731.76
  5. Step 5: Solve for x
    x = 228,333,731.76/17,118.48
  6. Step 6: Final answer
    x = 13,338.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.