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Finding the Fourth Proportional to 19,684.71, 29,517.33 and 8,586.60

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Solution

The fourth proportional to 19,684.71, 29,517.33 and 8,586.60 is: 12,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.71 : 29,517.33 = 8,586.60 : x
  2. Step 2: Convert to fraction form
    19,684.71/29,517.33 = 8,586.60/x
  3. Step 3: Cross multiply
    19,684.71x = 29,517.33 × 8,586.60
  4. Step 4: Simplify right side
    19,684.71x = 253,453,505.78
  5. Step 5: Solve for x
    x = 253,453,505.78/19,684.71
  6. Step 6: Final answer
    x = 12,875.65

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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.