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Finding the Fourth Proportional to 17,048.88, 23,529.60 and 9,978

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Solution

The fourth proportional to 17,048.88, 23,529.60 and 9,978 is: 13,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,048.88 : 23,529.60 = 9,978 : x
  2. Step 2: Convert to fraction form
    17,048.88/23,529.60 = 9,978/x
  3. Step 3: Cross multiply
    17,048.88x = 23,529.60 × 9,978
  4. Step 4: Simplify right side
    17,048.88x = 234,778,348.80
  5. Step 5: Solve for x
    x = 234,778,348.80/17,048.88
  6. Step 6: Final answer
    x = 13,770.90

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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.