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Finding the Fourth Proportional to 13,227.75, 18,253.98 and 7,259.40

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Solution

The fourth proportional to 13,227.75, 18,253.98 and 7,259.40 is: 10,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.75 : 18,253.98 = 7,259.40 : x
  2. Step 2: Convert to fraction form
    13,227.75/18,253.98 = 7,259.40/x
  3. Step 3: Cross multiply
    13,227.75x = 18,253.98 × 7,259.40
  4. Step 4: Simplify right side
    13,227.75x = 132,512,942.41
  5. Step 5: Solve for x
    x = 132,512,942.41/13,227.75
  6. Step 6: Final answer
    x = 10,017.80

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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.