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Finding the Fourth Proportional to 13,103.71, 18,083.48 and 7,438.70

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Solution

The fourth proportional to 13,103.71, 18,083.48 and 7,438.70 is: 10,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.71 : 18,083.48 = 7,438.70 : x
  2. Step 2: Convert to fraction form
    13,103.71/18,083.48 = 7,438.70/x
  3. Step 3: Cross multiply
    13,103.71x = 18,083.48 × 7,438.70
  4. Step 4: Simplify right side
    13,103.71x = 134,517,590.69
  5. Step 5: Solve for x
    x = 134,517,590.69/13,103.71
  6. Step 6: Final answer
    x = 10,265.61

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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.