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Finding the Fourth Proportional to 17,118.41, 23,622.07 and 9,564.35

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Solution

The fourth proportional to 17,118.41, 23,622.07 and 9,564.35 is: 13,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,118.41 : 23,622.07 = 9,564.35 : x
  2. Step 2: Convert to fraction form
    17,118.41/23,622.07 = 9,564.35/x
  3. Step 3: Cross multiply
    17,118.41x = 23,622.07 × 9,564.35
  4. Step 4: Simplify right side
    17,118.41x = 225,929,697.38
  5. Step 5: Solve for x
    x = 225,929,697.38/17,118.41
  6. Step 6: Final answer
    x = 13,198.05

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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.