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Finding the Fourth Proportional to 13,998.96, 20,896 and 12,338.24

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Solution

The fourth proportional to 13,998.96, 20,896 and 12,338.24 is: 18,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998.96 : 20,896 = 12,338.24 : x
  2. Step 2: Convert to fraction form
    13,998.96/20,896 = 12,338.24/x
  3. Step 3: Cross multiply
    13,998.96x = 20,896 × 12,338.24
  4. Step 4: Simplify right side
    13,998.96x = 257,819,863.04
  5. Step 5: Solve for x
    x = 257,819,863.04/13,998.96
  6. Step 6: Final answer
    x = 18,417.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.