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Finding the Fourth Proportional to 17,431.96, 24,055.52 and 9,474

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Solution

The fourth proportional to 17,431.96, 24,055.52 and 9,474 is: 13,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,431.96 : 24,055.52 = 9,474 : x
  2. Step 2: Convert to fraction form
    17,431.96/24,055.52 = 9,474/x
  3. Step 3: Cross multiply
    17,431.96x = 24,055.52 × 9,474
  4. Step 4: Simplify right side
    17,431.96x = 227,901,996.48
  5. Step 5: Solve for x
    x = 227,901,996.48/17,431.96
  6. Step 6: Final answer
    x = 13,073.80

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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.