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Finding the Fourth Proportional to 17,586.72, 24,269.73 and 9,629.08

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Solution

The fourth proportional to 17,586.72, 24,269.73 and 9,629.08 is: 13,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586.72 : 24,269.73 = 9,629.08 : x
  2. Step 2: Convert to fraction form
    17,586.72/24,269.73 = 9,629.08/x
  3. Step 3: Cross multiply
    17,586.72x = 24,269.73 × 9,629.08
  4. Step 4: Simplify right side
    17,586.72x = 233,695,074.97
  5. Step 5: Solve for x
    x = 233,695,074.97/17,586.72
  6. Step 6: Final answer
    x = 13,288.16

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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.