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Finding the Fourth Proportional to 13,527.72, 20,270.64 and 9,375.84

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Solution

The fourth proportional to 13,527.72, 20,270.64 and 9,375.84 is: 14,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.72 : 20,270.64 = 9,375.84 : x
  2. Step 2: Convert to fraction form
    13,527.72/20,270.64 = 9,375.84/x
  3. Step 3: Cross multiply
    13,527.72x = 20,270.64 × 9,375.84
  4. Step 4: Simplify right side
    13,527.72x = 190,054,312.50
  5. Step 5: Solve for x
    x = 190,054,312.50/13,527.72
  6. Step 6: Final answer
    x = 14,049.25

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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.