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Finding the Fourth Proportional to 19,685.66, 29,511.89 and 8,584.21

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Solution

The fourth proportional to 19,685.66, 29,511.89 and 8,584.21 is: 12,869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685.66 : 29,511.89 = 8,584.21 : x
  2. Step 2: Convert to fraction form
    19,685.66/29,511.89 = 8,584.21/x
  3. Step 3: Cross multiply
    19,685.66x = 29,511.89 × 8,584.21
  4. Step 4: Simplify right side
    19,685.66x = 253,336,070.78
  5. Step 5: Solve for x
    x = 253,336,070.78/19,685.66
  6. Step 6: Final answer
    x = 12,869.07

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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.