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Finding the Fourth Proportional to 20,178.71, 30,257.98 and 7,524.18

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Solution

The fourth proportional to 20,178.71, 30,257.98 and 7,524.18 is: 11,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.71 : 30,257.98 = 7,524.18 : x
  2. Step 2: Convert to fraction form
    20,178.71/30,257.98 = 7,524.18/x
  3. Step 3: Cross multiply
    20,178.71x = 30,257.98 × 7,524.18
  4. Step 4: Simplify right side
    20,178.71x = 227,666,450.34
  5. Step 5: Solve for x
    x = 227,666,450.34/20,178.71
  6. Step 6: Final answer
    x = 11,282.51

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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.