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Finding the Fourth Proportional to 14,447.60, 21,672.84 and 5,211.44

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Solution

The fourth proportional to 14,447.60, 21,672.84 and 5,211.44 is: 7,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.60 : 21,672.84 = 5,211.44 : x
  2. Step 2: Convert to fraction form
    14,447.60/21,672.84 = 5,211.44/x
  3. Step 3: Cross multiply
    14,447.60x = 21,672.84 × 5,211.44
  4. Step 4: Simplify right side
    14,447.60x = 112,946,705.29
  5. Step 5: Solve for x
    x = 112,946,705.29/14,447.60
  6. Step 6: Final answer
    x = 7,817.68

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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.