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Finding the Fourth Proportional to 17,612.62, 24,305.71 and 9,546.53

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Solution

The fourth proportional to 17,612.62, 24,305.71 and 9,546.53 is: 13,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,612.62 : 24,305.71 = 9,546.53 : x
  2. Step 2: Convert to fraction form
    17,612.62/24,305.71 = 9,546.53/x
  3. Step 3: Cross multiply
    17,612.62x = 24,305.71 × 9,546.53
  4. Step 4: Simplify right side
    17,612.62x = 232,035,189.69
  5. Step 5: Solve for x
    x = 232,035,189.69/17,612.62
  6. Step 6: Final answer
    x = 13,174.37

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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.