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Finding the Fourth Proportional to 15,167.50, 22,741.36 and 7,269.80

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Solution

The fourth proportional to 15,167.50, 22,741.36 and 7,269.80 is: 10,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,167.50 : 22,741.36 = 7,269.80 : x
  2. Step 2: Convert to fraction form
    15,167.50/22,741.36 = 7,269.80/x
  3. Step 3: Cross multiply
    15,167.50x = 22,741.36 × 7,269.80
  4. Step 4: Simplify right side
    15,167.50x = 165,325,134.97
  5. Step 5: Solve for x
    x = 165,325,134.97/15,167.50
  6. Step 6: Final answer
    x = 10,899.96

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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.