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Finding the Fourth Proportional to 15,727.38, 21,703.64 and 8,922.69

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Solution

The fourth proportional to 15,727.38, 21,703.64 and 8,922.69 is: 12,313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,727.38 : 21,703.64 = 8,922.69 : x
  2. Step 2: Convert to fraction form
    15,727.38/21,703.64 = 8,922.69/x
  3. Step 3: Cross multiply
    15,727.38x = 21,703.64 × 8,922.69
  4. Step 4: Simplify right side
    15,727.38x = 193,654,806.98
  5. Step 5: Solve for x
    x = 193,654,806.98/15,727.38
  6. Step 6: Final answer
    x = 12,313.23

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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.