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Finding the Fourth Proportional to 19,846.76, 29,747.46 and 8,145.50

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Solution

The fourth proportional to 19,846.76, 29,747.46 and 8,145.50 is: 12,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.76 : 29,747.46 = 8,145.50 : x
  2. Step 2: Convert to fraction form
    19,846.76/29,747.46 = 8,145.50/x
  3. Step 3: Cross multiply
    19,846.76x = 29,747.46 × 8,145.50
  4. Step 4: Simplify right side
    19,846.76x = 242,307,935.43
  5. Step 5: Solve for x
    x = 242,307,935.43/19,846.76
  6. Step 6: Final answer
    x = 12,208.94

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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.