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Finding the Fourth Proportional to 29,584.25, 40,829.21 and 17,647.58

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Solution

The fourth proportional to 29,584.25, 40,829.21 and 17,647.58 is: 24,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,584.25 : 40,829.21 = 17,647.58 : x
  2. Step 2: Convert to fraction form
    29,584.25/40,829.21 = 17,647.58/x
  3. Step 3: Cross multiply
    29,584.25x = 40,829.21 × 17,647.58
  4. Step 4: Simplify right side
    29,584.25x = 720,536,457.43
  5. Step 5: Solve for x
    x = 720,536,457.43/29,584.25
  6. Step 6: Final answer
    x = 24,355.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.