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Finding the Fourth Proportional to 23,874.60, 32,941.20 and 14,317.44

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Solution

The fourth proportional to 23,874.60, 32,941.20 and 14,317.44 is: 19,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.60 : 32,941.20 = 14,317.44 : x
  2. Step 2: Convert to fraction form
    23,874.60/32,941.20 = 14,317.44/x
  3. Step 3: Cross multiply
    23,874.60x = 32,941.20 × 14,317.44
  4. Step 4: Simplify right side
    23,874.60x = 471,633,654.53
  5. Step 5: Solve for x
    x = 471,633,654.53/23,874.60
  6. Step 6: Final answer
    x = 19,754.62

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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.