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Finding the Fourth Proportional to 20,527.42, 30,772.62 and 7,376.80

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Solution

The fourth proportional to 20,527.42, 30,772.62 and 7,376.80 is: 11,058.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,527.42 : 30,772.62 = 7,376.80 : x
  2. Step 2: Convert to fraction form
    20,527.42/30,772.62 = 7,376.80/x
  3. Step 3: Cross multiply
    20,527.42x = 30,772.62 × 7,376.80
  4. Step 4: Simplify right side
    20,527.42x = 227,003,463.22
  5. Step 5: Solve for x
    x = 227,003,463.22/20,527.42
  6. Step 6: Final answer
    x = 11,058.55

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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.