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Finding the Fourth Proportional to 17,077.98, 23,567.75 and 9,524.80

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Solution

The fourth proportional to 17,077.98, 23,567.75 and 9,524.80 is: 13,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.98 : 23,567.75 = 9,524.80 : x
  2. Step 2: Convert to fraction form
    17,077.98/23,567.75 = 9,524.80/x
  3. Step 3: Cross multiply
    17,077.98x = 23,567.75 × 9,524.80
  4. Step 4: Simplify right side
    17,077.98x = 224,478,176.33
  5. Step 5: Solve for x
    x = 224,478,176.33/17,077.98
  6. Step 6: Final answer
    x = 13,144.30

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