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Finding the Fourth Proportional to 43,677.68, 65,518.20 and 14,096

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Solution

The fourth proportional to 43,677.68, 65,518.20 and 14,096 is: 21,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,677.68 : 65,518.20 = 14,096 : x
  2. Step 2: Convert to fraction form
    43,677.68/65,518.20 = 14,096/x
  3. Step 3: Cross multiply
    43,677.68x = 65,518.20 × 14,096
  4. Step 4: Simplify right side
    43,677.68x = 923,544,547.20
  5. Step 5: Solve for x
    x = 923,544,547.20/43,677.68
  6. Step 6: Final answer
    x = 21,144.54

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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.