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Finding the Fourth Proportional to 14,446.90, 21,677.55 and 8,211.70

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Solution

The fourth proportional to 14,446.90, 21,677.55 and 8,211.70 is: 12,321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.90 : 21,677.55 = 8,211.70 : x
  2. Step 2: Convert to fraction form
    14,446.90/21,677.55 = 8,211.70/x
  3. Step 3: Cross multiply
    14,446.90x = 21,677.55 × 8,211.70
  4. Step 4: Simplify right side
    14,446.90x = 178,009,537.34
  5. Step 5: Solve for x
    x = 178,009,537.34/14,446.90
  6. Step 6: Final answer
    x = 12,321.64

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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.