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Finding the Fourth Proportional to 13,712.57, 18,923.70 and 8,410.31

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Solution

The fourth proportional to 13,712.57, 18,923.70 and 8,410.31 is: 11,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.57 : 18,923.70 = 8,410.31 : x
  2. Step 2: Convert to fraction form
    13,712.57/18,923.70 = 8,410.31/x
  3. Step 3: Cross multiply
    13,712.57x = 18,923.70 × 8,410.31
  4. Step 4: Simplify right side
    13,712.57x = 159,154,183.35
  5. Step 5: Solve for x
    x = 159,154,183.35/13,712.57
  6. Step 6: Final answer
    x = 11,606.44

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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.