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Finding the Fourth Proportional to 21,454.82, 29,605.92 and 12,022.10

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Solution

The fourth proportional to 21,454.82, 29,605.92 and 12,022.10 is: 16,589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.82 : 29,605.92 = 12,022.10 : x
  2. Step 2: Convert to fraction form
    21,454.82/29,605.92 = 12,022.10/x
  3. Step 3: Cross multiply
    21,454.82x = 29,605.92 × 12,022.10
  4. Step 4: Simplify right side
    21,454.82x = 355,925,330.83
  5. Step 5: Solve for x
    x = 355,925,330.83/21,454.82
  6. Step 6: Final answer
    x = 16,589.53

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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.