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Finding the Fourth Proportional to 21,638.76, 29,860.92 and 12,206.58

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Solution

The fourth proportional to 21,638.76, 29,860.92 and 12,206.58 is: 16,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.76 : 29,860.92 = 12,206.58 : x
  2. Step 2: Convert to fraction form
    21,638.76/29,860.92 = 12,206.58/x
  3. Step 3: Cross multiply
    21,638.76x = 29,860.92 × 12,206.58
  4. Step 4: Simplify right side
    21,638.76x = 364,499,708.85
  5. Step 5: Solve for x
    x = 364,499,708.85/21,638.76
  6. Step 6: Final answer
    x = 16,844.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.