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Finding the Fourth Proportional to 17,586, 24,268.68 and 9,628.29

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Solution

The fourth proportional to 17,586, 24,268.68 and 9,628.29 is: 13,287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586 : 24,268.68 = 9,628.29 : x
  2. Step 2: Convert to fraction form
    17,586/24,268.68 = 9,628.29/x
  3. Step 3: Cross multiply
    17,586x = 24,268.68 × 9,628.29
  4. Step 4: Simplify right side
    17,586x = 233,665,888.96
  5. Step 5: Solve for x
    x = 233,665,888.96/17,586
  6. Step 6: Final answer
    x = 13,287.04

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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.