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Finding the Fourth Proportional to 12,914.40, 19,343.76 and 8,731.44

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Solution

The fourth proportional to 12,914.40, 19,343.76 and 8,731.44 is: 13,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.40 : 19,343.76 = 8,731.44 : x
  2. Step 2: Convert to fraction form
    12,914.40/19,343.76 = 8,731.44/x
  3. Step 3: Cross multiply
    12,914.40x = 19,343.76 × 8,731.44
  4. Step 4: Simplify right side
    12,914.40x = 168,898,879.81
  5. Step 5: Solve for x
    x = 168,898,879.81/12,914.40
  6. Step 6: Final answer
    x = 13,078.34

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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.