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Finding the Fourth Proportional to 13,406.05, 18,501.41 and 7,438.88

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Solution

The fourth proportional to 13,406.05, 18,501.41 and 7,438.88 is: 10,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.05 : 18,501.41 = 7,438.88 : x
  2. Step 2: Convert to fraction form
    13,406.05/18,501.41 = 7,438.88/x
  3. Step 3: Cross multiply
    13,406.05x = 18,501.41 × 7,438.88
  4. Step 4: Simplify right side
    13,406.05x = 137,629,833.67
  5. Step 5: Solve for x
    x = 137,629,833.67/13,406.05
  6. Step 6: Final answer
    x = 10,266.25

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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.