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Finding the Fourth Proportional to 17,077.94, 23,567.67 and 9,524.78

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Solution

The fourth proportional to 17,077.94, 23,567.67 and 9,524.78 is: 13,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.94 : 23,567.67 = 9,524.78 : x
  2. Step 2: Convert to fraction form
    17,077.94/23,567.67 = 9,524.78/x
  3. Step 3: Cross multiply
    17,077.94x = 23,567.67 × 9,524.78
  4. Step 4: Simplify right side
    17,077.94x = 224,476,754.02
  5. Step 5: Solve for x
    x = 224,476,754.02/17,077.94
  6. Step 6: Final answer
    x = 13,144.26

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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.