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Finding the Fourth Proportional to 17,529.96, 24,187.38 and 10,455

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Solution

The fourth proportional to 17,529.96, 24,187.38 and 10,455 is: 14,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,529.96 : 24,187.38 = 10,455 : x
  2. Step 2: Convert to fraction form
    17,529.96/24,187.38 = 10,455/x
  3. Step 3: Cross multiply
    17,529.96x = 24,187.38 × 10,455
  4. Step 4: Simplify right side
    17,529.96x = 252,879,057.90
  5. Step 5: Solve for x
    x = 252,879,057.90/17,529.96
  6. Step 6: Final answer
    x = 14,425.54

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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.