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Finding the Fourth Proportional to 21,616.45, 29,833.25 and 12,057.84

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Solution

The fourth proportional to 21,616.45, 29,833.25 and 12,057.84 is: 16,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,616.45 : 29,833.25 = 12,057.84 : x
  2. Step 2: Convert to fraction form
    21,616.45/29,833.25 = 12,057.84/x
  3. Step 3: Cross multiply
    21,616.45x = 29,833.25 × 12,057.84
  4. Step 4: Simplify right side
    21,616.45x = 359,724,494.89
  5. Step 5: Solve for x
    x = 359,724,494.89/21,616.45
  6. Step 6: Final answer
    x = 16,641.24

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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.