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Finding the Fourth Proportional to 14,438.92, 21,654.62 and 6,114.66

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Solution

The fourth proportional to 14,438.92, 21,654.62 and 6,114.66 is: 9,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.92 : 21,654.62 = 6,114.66 : x
  2. Step 2: Convert to fraction form
    14,438.92/21,654.62 = 6,114.66/x
  3. Step 3: Cross multiply
    14,438.92x = 21,654.62 × 6,114.66
  4. Step 4: Simplify right side
    14,438.92x = 132,410,638.73
  5. Step 5: Solve for x
    x = 132,410,638.73/14,438.92
  6. Step 6: Final answer
    x = 9,170.40

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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.