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Finding the Fourth Proportional to 12,497, 17,241.84 and 7,462.04

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Solution

The fourth proportional to 12,497, 17,241.84 and 7,462.04 is: 10,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497 : 17,241.84 = 7,462.04 : x
  2. Step 2: Convert to fraction form
    12,497/17,241.84 = 7,462.04/x
  3. Step 3: Cross multiply
    12,497x = 17,241.84 × 7,462.04
  4. Step 4: Simplify right side
    12,497x = 128,659,299.75
  5. Step 5: Solve for x
    x = 128,659,299.75/12,497
  6. Step 6: Final answer
    x = 10,295.21

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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.