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Finding the Fourth Proportional to 17,774.75, 24,528.49 and 9,816.77

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Solution

The fourth proportional to 17,774.75, 24,528.49 and 9,816.77 is: 13,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.75 : 24,528.49 = 9,816.77 : x
  2. Step 2: Convert to fraction form
    17,774.75/24,528.49 = 9,816.77/x
  3. Step 3: Cross multiply
    17,774.75x = 24,528.49 × 9,816.77
  4. Step 4: Simplify right side
    17,774.75x = 240,790,581.56
  5. Step 5: Solve for x
    x = 240,790,581.56/17,774.75
  6. Step 6: Final answer
    x = 13,546.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.