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Finding the Fourth Proportional to 14,205.38, 21,313.53 and 5,440.97

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Solution

The fourth proportional to 14,205.38, 21,313.53 and 5,440.97 is: 8,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.38 : 21,313.53 = 5,440.97 : x
  2. Step 2: Convert to fraction form
    14,205.38/21,313.53 = 5,440.97/x
  3. Step 3: Cross multiply
    14,205.38x = 21,313.53 × 5,440.97
  4. Step 4: Simplify right side
    14,205.38x = 115,966,330.61
  5. Step 5: Solve for x
    x = 115,966,330.61/14,205.38
  6. Step 6: Final answer
    x = 8,163.55

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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.