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Finding the Fourth Proportional to 15,766.65, 21,744.86 and 11,797.25

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Solution

The fourth proportional to 15,766.65, 21,744.86 and 11,797.25 is: 16,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,766.65 : 21,744.86 = 11,797.25 : x
  2. Step 2: Convert to fraction form
    15,766.65/21,744.86 = 11,797.25/x
  3. Step 3: Cross multiply
    15,766.65x = 21,744.86 × 11,797.25
  4. Step 4: Simplify right side
    15,766.65x = 256,529,381.92
  5. Step 5: Solve for x
    x = 256,529,381.92/15,766.65
  6. Step 6: Final answer
    x = 16,270.38

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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.