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Finding the Fourth Proportional to 21,616.96, 29,829.12 and 12,185.44

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Solution

The fourth proportional to 21,616.96, 29,829.12 and 12,185.44 is: 16,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,616.96 : 29,829.12 = 12,185.44 : x
  2. Step 2: Convert to fraction form
    21,616.96/29,829.12 = 12,185.44/x
  3. Step 3: Cross multiply
    21,616.96x = 29,829.12 × 12,185.44
  4. Step 4: Simplify right side
    21,616.96x = 363,480,952.01
  5. Step 5: Solve for x
    x = 363,480,952.01/21,616.96
  6. Step 6: Final answer
    x = 16,814.62

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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.