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Finding the Fourth Proportional to 21,302.64, 29,399.04 and 11,871.48

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Solution

The fourth proportional to 21,302.64, 29,399.04 and 11,871.48 is: 16,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,302.64 : 29,399.04 = 11,871.48 : x
  2. Step 2: Convert to fraction form
    21,302.64/29,399.04 = 11,871.48/x
  3. Step 3: Cross multiply
    21,302.64x = 29,399.04 × 11,871.48
  4. Step 4: Simplify right side
    21,302.64x = 349,010,115.38
  5. Step 5: Solve for x
    x = 349,010,115.38/21,302.64
  6. Step 6: Final answer
    x = 16,383.42

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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.