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Finding the Fourth Proportional to 17,757, 24,507.90 and 10,305

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Solution

The fourth proportional to 17,757, 24,507.90 and 10,305 is: 14,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757 : 24,507.90 = 10,305 : x
  2. Step 2: Convert to fraction form
    17,757/24,507.90 = 10,305/x
  3. Step 3: Cross multiply
    17,757x = 24,507.90 × 10,305
  4. Step 4: Simplify right side
    17,757x = 252,553,909.50
  5. Step 5: Solve for x
    x = 252,553,909.50/17,757
  6. Step 6: Final answer
    x = 14,222.78

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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.