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Finding the Fourth Proportional to 29,818.14, 41,185.12 and 21,739

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Solution

The fourth proportional to 29,818.14, 41,185.12 and 21,739 is: 30,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,818.14 : 41,185.12 = 21,739 : x
  2. Step 2: Convert to fraction form
    29,818.14/41,185.12 = 21,739/x
  3. Step 3: Cross multiply
    29,818.14x = 41,185.12 × 21,739
  4. Step 4: Simplify right side
    29,818.14x = 895,323,323.68
  5. Step 5: Solve for x
    x = 895,323,323.68/29,818.14
  6. Step 6: Final answer
    x = 30,026.13

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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.