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Finding the Fourth Proportional to 19,834.50, 29,750.54 and 8,147.42

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Solution

The fourth proportional to 19,834.50, 29,750.54 and 8,147.42 is: 12,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834.50 : 29,750.54 = 8,147.42 : x
  2. Step 2: Convert to fraction form
    19,834.50/29,750.54 = 8,147.42/x
  3. Step 3: Cross multiply
    19,834.50x = 29,750.54 × 8,147.42
  4. Step 4: Simplify right side
    19,834.50x = 242,390,144.61
  5. Step 5: Solve for x
    x = 242,390,144.61/19,834.50
  6. Step 6: Final answer
    x = 12,220.63

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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.