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Finding the Fourth Proportional to 21,400, 31,943.24 and 18,874.96

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Solution

The fourth proportional to 21,400, 31,943.24 and 18,874.96 is: 28,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400 : 31,943.24 = 18,874.96 : x
  2. Step 2: Convert to fraction form
    21,400/31,943.24 = 18,874.96/x
  3. Step 3: Cross multiply
    21,400x = 31,943.24 × 18,874.96
  4. Step 4: Simplify right side
    21,400x = 602,927,377.27
  5. Step 5: Solve for x
    x = 602,927,377.27/21,400
  6. Step 6: Final answer
    x = 28,174.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.