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Finding the Fourth Proportional to 17,716.84, 24,449.24 and 9,759.06

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Solution

The fourth proportional to 17,716.84, 24,449.24 and 9,759.06 is: 13,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.84 : 24,449.24 = 9,759.06 : x
  2. Step 2: Convert to fraction form
    17,716.84/24,449.24 = 9,759.06/x
  3. Step 3: Cross multiply
    17,716.84x = 24,449.24 × 9,759.06
  4. Step 4: Simplify right side
    17,716.84x = 238,601,669.30
  5. Step 5: Solve for x
    x = 238,601,669.30/17,716.84
  6. Step 6: Final answer
    x = 13,467.51

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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.