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Finding the Fourth Proportional to 19,932.84, 29,902.86 and 8,247

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Solution

The fourth proportional to 19,932.84, 29,902.86 and 8,247 is: 12,371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,932.84 : 29,902.86 = 8,247 : x
  2. Step 2: Convert to fraction form
    19,932.84/29,902.86 = 8,247/x
  3. Step 3: Cross multiply
    19,932.84x = 29,902.86 × 8,247
  4. Step 4: Simplify right side
    19,932.84x = 246,608,886.42
  5. Step 5: Solve for x
    x = 246,608,886.42/19,932.84
  6. Step 6: Final answer
    x = 12,371.99

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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.