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Finding the Fourth Proportional to 30,138.82, 41,592.56 and 18,199.76

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Solution

The fourth proportional to 30,138.82, 41,592.56 and 18,199.76 is: 25,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.82 : 41,592.56 = 18,199.76 : x
  2. Step 2: Convert to fraction form
    30,138.82/41,592.56 = 18,199.76/x
  3. Step 3: Cross multiply
    30,138.82x = 41,592.56 × 18,199.76
  4. Step 4: Simplify right side
    30,138.82x = 756,974,310.82
  5. Step 5: Solve for x
    x = 756,974,310.82/30,138.82
  6. Step 6: Final answer
    x = 25,116.26

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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.