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Finding the Fourth Proportional to 13,231.49, 19,828.71 and 9,942.49

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Solution

The fourth proportional to 13,231.49, 19,828.71 and 9,942.49 is: 14,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.49 : 19,828.71 = 9,942.49 : x
  2. Step 2: Convert to fraction form
    13,231.49/19,828.71 = 9,942.49/x
  3. Step 3: Cross multiply
    13,231.49x = 19,828.71 × 9,942.49
  4. Step 4: Simplify right side
    13,231.49x = 197,146,701.32
  5. Step 5: Solve for x
    x = 197,146,701.32/13,231.49
  6. Step 6: Final answer
    x = 14,899.81

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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.