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Finding the Fourth Proportional to 21,461.76, 29,618.46 and 12,029.58

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Solution

The fourth proportional to 21,461.76, 29,618.46 and 12,029.58 is: 16,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.76 : 29,618.46 = 12,029.58 : x
  2. Step 2: Convert to fraction form
    21,461.76/29,618.46 = 12,029.58/x
  3. Step 3: Cross multiply
    21,461.76x = 29,618.46 × 12,029.58
  4. Step 4: Simplify right side
    21,461.76x = 356,297,634.05
  5. Step 5: Solve for x
    x = 356,297,634.05/21,461.76
  6. Step 6: Final answer
    x = 16,601.51

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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.