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Finding the Fourth Proportional to 21,251.64, 29,327.76 and 11,820

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Solution

The fourth proportional to 21,251.64, 29,327.76 and 11,820 is: 16,311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.64 : 29,327.76 = 11,820 : x
  2. Step 2: Convert to fraction form
    21,251.64/29,327.76 = 11,820/x
  3. Step 3: Cross multiply
    21,251.64x = 29,327.76 × 11,820
  4. Step 4: Simplify right side
    21,251.64x = 346,654,123.20
  5. Step 5: Solve for x
    x = 346,654,123.20/21,251.64
  6. Step 6: Final answer
    x = 16,311.88

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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.