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Finding the Fourth Proportional to 19,684.40, 29,517.71 and 5,641.22

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Solution

The fourth proportional to 19,684.40, 29,517.71 and 5,641.22 is: 8,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.40 : 29,517.71 = 5,641.22 : x
  2. Step 2: Convert to fraction form
    19,684.40/29,517.71 = 5,641.22/x
  3. Step 3: Cross multiply
    19,684.40x = 29,517.71 × 5,641.22
  4. Step 4: Simplify right side
    19,684.40x = 166,515,896.01
  5. Step 5: Solve for x
    x = 166,515,896.01/19,684.40
  6. Step 6: Final answer
    x = 8,459.28

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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.