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Finding the Fourth Proportional to 13,406.41, 18,500.22 and 7,438.02

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Solution

The fourth proportional to 13,406.41, 18,500.22 and 7,438.02 is: 10,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.41 : 18,500.22 = 7,438.02 : x
  2. Step 2: Convert to fraction form
    13,406.41/18,500.22 = 7,438.02/x
  3. Step 3: Cross multiply
    13,406.41x = 18,500.22 × 7,438.02
  4. Step 4: Simplify right side
    13,406.41x = 137,605,006.36
  5. Step 5: Solve for x
    x = 137,605,006.36/13,406.41
  6. Step 6: Final answer
    x = 10,264.12

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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.