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Finding the Fourth Proportional to 13,527.84, 20,286.08 and 4,760.64

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Solution

The fourth proportional to 13,527.84, 20,286.08 and 4,760.64 is: 7,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.84 : 20,286.08 = 4,760.64 : x
  2. Step 2: Convert to fraction form
    13,527.84/20,286.08 = 4,760.64/x
  3. Step 3: Cross multiply
    13,527.84x = 20,286.08 × 4,760.64
  4. Step 4: Simplify right side
    13,527.84x = 96,574,723.89
  5. Step 5: Solve for x
    x = 96,574,723.89/13,527.84
  6. Step 6: Final answer
    x = 7,138.96

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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.