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Finding the Fourth Proportional to 17,539.34, 24,203.90 and 9,581.60

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Solution

The fourth proportional to 17,539.34, 24,203.90 and 9,581.60 is: 13,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,539.34 : 24,203.90 = 9,581.60 : x
  2. Step 2: Convert to fraction form
    17,539.34/24,203.90 = 9,581.60/x
  3. Step 3: Cross multiply
    17,539.34x = 24,203.90 × 9,581.60
  4. Step 4: Simplify right side
    17,539.34x = 231,912,100.84
  5. Step 5: Solve for x
    x = 231,912,100.84/17,539.34
  6. Step 6: Final answer
    x = 13,222.39

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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.