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Finding the Fourth Proportional to 14,446.14, 19,935.28 and 8,072.31

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Solution

The fourth proportional to 14,446.14, 19,935.28 and 8,072.31 is: 11,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.14 : 19,935.28 = 8,072.31 : x
  2. Step 2: Convert to fraction form
    14,446.14/19,935.28 = 8,072.31/x
  3. Step 3: Cross multiply
    14,446.14x = 19,935.28 × 8,072.31
  4. Step 4: Simplify right side
    14,446.14x = 160,923,760.10
  5. Step 5: Solve for x
    x = 160,923,760.10/14,446.14
  6. Step 6: Final answer
    x = 11,139.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.