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Finding the Fourth Proportional to 13,539.96, 20,313.05 and 6,146.55

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Solution

The fourth proportional to 13,539.96, 20,313.05 and 6,146.55 is: 9,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.96 : 20,313.05 = 6,146.55 : x
  2. Step 2: Convert to fraction form
    13,539.96/20,313.05 = 6,146.55/x
  3. Step 3: Cross multiply
    13,539.96x = 20,313.05 × 6,146.55
  4. Step 4: Simplify right side
    13,539.96x = 124,855,146.74
  5. Step 5: Solve for x
    x = 124,855,146.74/13,539.96
  6. Step 6: Final answer
    x = 9,221.23

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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.