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Finding the Fourth Proportional to 18,211.90, 27,337.28 and 7,830.94

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Solution

The fourth proportional to 18,211.90, 27,337.28 and 7,830.94 is: 11,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,211.90 : 27,337.28 = 7,830.94 : x
  2. Step 2: Convert to fraction form
    18,211.90/27,337.28 = 7,830.94/x
  3. Step 3: Cross multiply
    18,211.90x = 27,337.28 × 7,830.94
  4. Step 4: Simplify right side
    18,211.90x = 214,076,599.44
  5. Step 5: Solve for x
    x = 214,076,599.44/18,211.90
  6. Step 6: Final answer
    x = 11,754.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.