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Finding the Fourth Proportional to 13,406.70, 18,501.26 and 7,438.41

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Solution

The fourth proportional to 13,406.70, 18,501.26 and 7,438.41 is: 10,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.70 : 18,501.26 = 7,438.41 : x
  2. Step 2: Convert to fraction form
    13,406.70/18,501.26 = 7,438.41/x
  3. Step 3: Cross multiply
    13,406.70x = 18,501.26 × 7,438.41
  4. Step 4: Simplify right side
    13,406.70x = 137,619,920.20
  5. Step 5: Solve for x
    x = 137,619,920.20/13,406.70
  6. Step 6: Final answer
    x = 10,265.01

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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.