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Finding the Fourth Proportional to 13,261.20, 18,280.80 and 9,718.80

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Solution

The fourth proportional to 13,261.20, 18,280.80 and 9,718.80 is: 13,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,261.20 : 18,280.80 = 9,718.80 : x
  2. Step 2: Convert to fraction form
    13,261.20/18,280.80 = 9,718.80/x
  3. Step 3: Cross multiply
    13,261.20x = 18,280.80 × 9,718.80
  4. Step 4: Simplify right side
    13,261.20x = 177,667,439.04
  5. Step 5: Solve for x
    x = 177,667,439.04/13,261.20
  6. Step 6: Final answer
    x = 13,397.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.