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Finding the Fourth Proportional to 21,874.45, 30,189.00 and 13,382.23

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Solution

The fourth proportional to 21,874.45, 30,189.00 and 13,382.23 is: 18,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.45 : 30,189.00 = 13,382.23 : x
  2. Step 2: Convert to fraction form
    21,874.45/30,189.00 = 13,382.23/x
  3. Step 3: Cross multiply
    21,874.45x = 30,189.00 × 13,382.23
  4. Step 4: Simplify right side
    21,874.45x = 403,996,045.43
  5. Step 5: Solve for x
    x = 403,996,045.43/21,874.45
  6. Step 6: Final answer
    x = 18,468.86

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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.