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Finding the Fourth Proportional to 17,765.50, 24,518.82 and 10,313.50

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Solution

The fourth proportional to 17,765.50, 24,518.82 and 10,313.50 is: 14,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.50 : 24,518.82 = 10,313.50 : x
  2. Step 2: Convert to fraction form
    17,765.50/24,518.82 = 10,313.50/x
  3. Step 3: Cross multiply
    17,765.50x = 24,518.82 × 10,313.50
  4. Step 4: Simplify right side
    17,765.50x = 252,874,850.07
  5. Step 5: Solve for x
    x = 252,874,850.07/17,765.50
  6. Step 6: Final answer
    x = 14,234.04

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1.5x scale

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.