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Finding the Fourth Proportional to 32,017.76, 44,181.60 and 17,868

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Solution

The fourth proportional to 32,017.76, 44,181.60 and 17,868 is: 24,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017.76 : 44,181.60 = 17,868 : x
  2. Step 2: Convert to fraction form
    32,017.76/44,181.60 = 17,868/x
  3. Step 3: Cross multiply
    32,017.76x = 44,181.60 × 17,868
  4. Step 4: Simplify right side
    32,017.76x = 789,436,828.80
  5. Step 5: Solve for x
    x = 789,436,828.80/32,017.76
  6. Step 6: Final answer
    x = 24,656.22

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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.