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Finding the Fourth Proportional to 21,502.87, 29,674.72 and 11,942.91

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Solution

The fourth proportional to 21,502.87, 29,674.72 and 11,942.91 is: 16,481.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502.87 : 29,674.72 = 11,942.91 : x
  2. Step 2: Convert to fraction form
    21,502.87/29,674.72 = 11,942.91/x
  3. Step 3: Cross multiply
    21,502.87x = 29,674.72 × 11,942.91
  4. Step 4: Simplify right side
    21,502.87x = 354,402,480.38
  5. Step 5: Solve for x
    x = 354,402,480.38/21,502.87
  6. Step 6: Final answer
    x = 16,481.64

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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.