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Finding the Fourth Proportional to 15,674.50, 21,629.75 and 8,601.38

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Solution

The fourth proportional to 15,674.50, 21,629.75 and 8,601.38 is: 11,869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674.50 : 21,629.75 = 8,601.38 : x
  2. Step 2: Convert to fraction form
    15,674.50/21,629.75 = 8,601.38/x
  3. Step 3: Cross multiply
    15,674.50x = 21,629.75 × 8,601.38
  4. Step 4: Simplify right side
    15,674.50x = 186,045,665.12
  5. Step 5: Solve for x
    x = 186,045,665.12/15,674.50
  6. Step 6: Final answer
    x = 11,869.32

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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.