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Finding the Fourth Proportional to 13,646.39, 20,474.60 and 5,750.90

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Solution

The fourth proportional to 13,646.39, 20,474.60 and 5,750.90 is: 8,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.39 : 20,474.60 = 5,750.90 : x
  2. Step 2: Convert to fraction form
    13,646.39/20,474.60 = 5,750.90/x
  3. Step 3: Cross multiply
    13,646.39x = 20,474.60 × 5,750.90
  4. Step 4: Simplify right side
    13,646.39x = 117,747,246.01
  5. Step 5: Solve for x
    x = 117,747,246.01/13,646.39
  6. Step 6: Final answer
    x = 8,628.45

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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.