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Finding the Fourth Proportional to 21,638.48, 29,855.99 and 12,205.22

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Solution

The fourth proportional to 21,638.48, 29,855.99 and 12,205.22 is: 16,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.48 : 29,855.99 = 12,205.22 : x
  2. Step 2: Convert to fraction form
    21,638.48/29,855.99 = 12,205.22/x
  3. Step 3: Cross multiply
    21,638.48x = 29,855.99 × 12,205.22
  4. Step 4: Simplify right side
    21,638.48x = 364,398,807.50
  5. Step 5: Solve for x
    x = 364,398,807.50/21,638.48
  6. Step 6: Final answer
    x = 16,840.32

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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.