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Finding the Fourth Proportional to 19,405.84, 29,084.40 and 8,299.47

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Solution

The fourth proportional to 19,405.84, 29,084.40 and 8,299.47 is: 12,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,405.84 : 29,084.40 = 8,299.47 : x
  2. Step 2: Convert to fraction form
    19,405.84/29,084.40 = 8,299.47/x
  3. Step 3: Cross multiply
    19,405.84x = 29,084.40 × 8,299.47
  4. Step 4: Simplify right side
    19,405.84x = 241,385,042.93
  5. Step 5: Solve for x
    x = 241,385,042.93/19,405.84
  6. Step 6: Final answer
    x = 12,438.78

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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.