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Finding the Fourth Proportional to 21,142.67, 31,715.49 and 8,492.43

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Solution

The fourth proportional to 21,142.67, 31,715.49 and 8,492.43 is: 12,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.67 : 31,715.49 = 8,492.43 : x
  2. Step 2: Convert to fraction form
    21,142.67/31,715.49 = 8,492.43/x
  3. Step 3: Cross multiply
    21,142.67x = 31,715.49 × 8,492.43
  4. Step 4: Simplify right side
    21,142.67x = 269,341,578.74
  5. Step 5: Solve for x
    x = 269,341,578.74/21,142.67
  6. Step 6: Final answer
    x = 12,739.24

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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.