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Finding the Fourth Proportional to 12,133.17, 18,200.54 and 3,813.53

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Solution

The fourth proportional to 12,133.17, 18,200.54 and 3,813.53 is: 5,720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.17 : 18,200.54 = 3,813.53 : x
  2. Step 2: Convert to fraction form
    12,133.17/18,200.54 = 3,813.53/x
  3. Step 3: Cross multiply
    12,133.17x = 18,200.54 × 3,813.53
  4. Step 4: Simplify right side
    12,133.17x = 69,408,331.74
  5. Step 5: Solve for x
    x = 69,408,331.74/12,133.17
  6. Step 6: Final answer
    x = 5,720.54

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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.