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Finding the Fourth Proportional to 14,344.38, 21,505.56 and 8,111.46

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Solution

The fourth proportional to 14,344.38, 21,505.56 and 8,111.46 is: 12,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,344.38 : 21,505.56 = 8,111.46 : x
  2. Step 2: Convert to fraction form
    14,344.38/21,505.56 = 8,111.46/x
  3. Step 3: Cross multiply
    14,344.38x = 21,505.56 × 8,111.46
  4. Step 4: Simplify right side
    14,344.38x = 174,441,489.72
  5. Step 5: Solve for x
    x = 174,441,489.72/14,344.38
  6. Step 6: Final answer
    x = 12,160.96

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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.