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Finding the Fourth Proportional to 17,935.28, 24,750 and 9,977.24

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Solution

The fourth proportional to 17,935.28, 24,750 and 9,977.24 is: 13,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,935.28 : 24,750 = 9,977.24 : x
  2. Step 2: Convert to fraction form
    17,935.28/24,750 = 9,977.24/x
  3. Step 3: Cross multiply
    17,935.28x = 24,750 × 9,977.24
  4. Step 4: Simplify right side
    17,935.28x = 246,936,690
  5. Step 5: Solve for x
    x = 246,936,690/17,935.28
  6. Step 6: Final answer
    x = 13,768.21

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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.