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Finding the Fourth Proportional to 13,406.85, 18,500.13 and 7,438.43

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Solution

The fourth proportional to 13,406.85, 18,500.13 and 7,438.43 is: 10,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.85 : 18,500.13 = 7,438.43 : x
  2. Step 2: Convert to fraction form
    13,406.85/18,500.13 = 7,438.43/x
  3. Step 3: Cross multiply
    13,406.85x = 18,500.13 × 7,438.43
  4. Step 4: Simplify right side
    13,406.85x = 137,611,968.25
  5. Step 5: Solve for x
    x = 137,611,968.25/13,406.85
  6. Step 6: Final answer
    x = 10,264.30

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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.