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Finding the Fourth Proportional to 17,077.65, 23,568.35 and 9,524.49

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Solution

The fourth proportional to 17,077.65, 23,568.35 and 9,524.49 is: 13,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.65 : 23,568.35 = 9,524.49 : x
  2. Step 2: Convert to fraction form
    17,077.65/23,568.35 = 9,524.49/x
  3. Step 3: Cross multiply
    17,077.65x = 23,568.35 × 9,524.49
  4. Step 4: Simplify right side
    17,077.65x = 224,476,513.89
  5. Step 5: Solve for x
    x = 224,476,513.89/17,077.65
  6. Step 6: Final answer
    x = 13,144.46

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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.