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Finding the Fourth Proportional to 13,841.55, 20,765.03 and 5,077.22

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Solution

The fourth proportional to 13,841.55, 20,765.03 and 5,077.22 is: 7,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.55 : 20,765.03 = 5,077.22 : x
  2. Step 2: Convert to fraction form
    13,841.55/20,765.03 = 5,077.22/x
  3. Step 3: Cross multiply
    13,841.55x = 20,765.03 × 5,077.22
  4. Step 4: Simplify right side
    13,841.55x = 105,428,496.41
  5. Step 5: Solve for x
    x = 105,428,496.41/13,841.55
  6. Step 6: Final answer
    x = 7,616.81

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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.