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Finding the Fourth Proportional to 13,513.68, 20,257.20 and 6,120

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Solution

The fourth proportional to 13,513.68, 20,257.20 and 6,120 is: 9,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.68 : 20,257.20 = 6,120 : x
  2. Step 2: Convert to fraction form
    13,513.68/20,257.20 = 6,120/x
  3. Step 3: Cross multiply
    13,513.68x = 20,257.20 × 6,120
  4. Step 4: Simplify right side
    13,513.68x = 123,974,064
  5. Step 5: Solve for x
    x = 123,974,064/13,513.68
  6. Step 6: Final answer
    x = 9,173.97

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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.