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Finding the Fourth Proportional to 21,142, 31,713 and 8,830

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Solution

The fourth proportional to 21,142, 31,713 and 8,830 is: 13,245

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142 : 31,713 = 8,830 : x
  2. Step 2: Convert to fraction form
    21,142/31,713 = 8,830/x
  3. Step 3: Cross multiply
    21,142x = 31,713 × 8,830
  4. Step 4: Simplify right side
    21,142x = 280,025,790
  5. Step 5: Solve for x
    x = 280,025,790/21,142
  6. Step 6: Final answer
    x = 13,245

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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.