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Finding the Fourth Proportional to 32,022.25, 44,195.15 and 17,876

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Solution

The fourth proportional to 32,022.25, 44,195.15 and 17,876 is: 24,671.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.25 : 44,195.15 = 17,876 : x
  2. Step 2: Convert to fraction form
    32,022.25/44,195.15 = 17,876/x
  3. Step 3: Cross multiply
    32,022.25x = 44,195.15 × 17,876
  4. Step 4: Simplify right side
    32,022.25x = 790,032,501.40
  5. Step 5: Solve for x
    x = 790,032,501.40/32,022.25
  6. Step 6: Final answer
    x = 24,671.36

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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.