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Finding the Fourth Proportional to 13,938.40, 20,907.48 and 6,147.22

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Solution

The fourth proportional to 13,938.40, 20,907.48 and 6,147.22 is: 9,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938.40 : 20,907.48 = 6,147.22 : x
  2. Step 2: Convert to fraction form
    13,938.40/20,907.48 = 6,147.22/x
  3. Step 3: Cross multiply
    13,938.40x = 20,907.48 × 6,147.22
  4. Step 4: Simplify right side
    13,938.40x = 128,522,879.21
  5. Step 5: Solve for x
    x = 128,522,879.21/13,938.40
  6. Step 6: Final answer
    x = 9,220.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.