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Finding the Fourth Proportional to 18,270.72, 27,412.80 and 9,500.16

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Solution

The fourth proportional to 18,270.72, 27,412.80 and 9,500.16 is: 14,253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,270.72 : 27,412.80 = 9,500.16 : x
  2. Step 2: Convert to fraction form
    18,270.72/27,412.80 = 9,500.16/x
  3. Step 3: Cross multiply
    18,270.72x = 27,412.80 × 9,500.16
  4. Step 4: Simplify right side
    18,270.72x = 260,425,986.05
  5. Step 5: Solve for x
    x = 260,425,986.05/18,270.72
  6. Step 6: Final answer
    x = 14,253.73

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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.