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Finding the Fourth Proportional to 21,469.68, 29,629.44 and 12,038.76

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Solution

The fourth proportional to 21,469.68, 29,629.44 and 12,038.76 is: 16,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,469.68 : 29,629.44 = 12,038.76 : x
  2. Step 2: Convert to fraction form
    21,469.68/29,629.44 = 12,038.76/x
  3. Step 3: Cross multiply
    21,469.68x = 29,629.44 × 12,038.76
  4. Step 4: Simplify right side
    21,469.68x = 356,701,717.09
  5. Step 5: Solve for x
    x = 356,701,717.09/21,469.68
  6. Step 6: Final answer
    x = 16,614.21

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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.