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Finding the Fourth Proportional to 29,817.30, 41,142.06 and 19,205.40

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Solution

The fourth proportional to 29,817.30, 41,142.06 and 19,205.40 is: 26,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,817.30 : 41,142.06 = 19,205.40 : x
  2. Step 2: Convert to fraction form
    29,817.30/41,142.06 = 19,205.40/x
  3. Step 3: Cross multiply
    29,817.30x = 41,142.06 × 19,205.40
  4. Step 4: Simplify right side
    29,817.30x = 790,149,719.12
  5. Step 5: Solve for x
    x = 790,149,719.12/29,817.30
  6. Step 6: Final answer
    x = 26,499.71

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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.