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Finding the Fourth Proportional to 19,834.89, 29,713.46 and 8,715.21

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Solution

The fourth proportional to 19,834.89, 29,713.46 and 8,715.21 is: 13,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834.89 : 29,713.46 = 8,715.21 : x
  2. Step 2: Convert to fraction form
    19,834.89/29,713.46 = 8,715.21/x
  3. Step 3: Cross multiply
    19,834.89x = 29,713.46 × 8,715.21
  4. Step 4: Simplify right side
    19,834.89x = 258,959,000.15
  5. Step 5: Solve for x
    x = 258,959,000.15/19,834.89
  6. Step 6: Final answer
    x = 13,055.73

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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.