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Finding the Fourth Proportional to 13,910.71, 20,851.48 and 5,140.03

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Solution

The fourth proportional to 13,910.71, 20,851.48 and 5,140.03 is: 7,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.71 : 20,851.48 = 5,140.03 : x
  2. Step 2: Convert to fraction form
    13,910.71/20,851.48 = 5,140.03/x
  3. Step 3: Cross multiply
    13,910.71x = 20,851.48 × 5,140.03
  4. Step 4: Simplify right side
    13,910.71x = 107,177,232.74
  5. Step 5: Solve for x
    x = 107,177,232.74/13,910.71
  6. Step 6: Final answer
    x = 7,704.66

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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.