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Finding the Fourth Proportional to 13,615.46, 20,424.34 and 3,754.74

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Solution

The fourth proportional to 13,615.46, 20,424.34 and 3,754.74 is: 5,632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.46 : 20,424.34 = 3,754.74 : x
  2. Step 2: Convert to fraction form
    13,615.46/20,424.34 = 3,754.74/x
  3. Step 3: Cross multiply
    13,615.46x = 20,424.34 × 3,754.74
  4. Step 4: Simplify right side
    13,615.46x = 76,688,086.37
  5. Step 5: Solve for x
    x = 76,688,086.37/13,615.46
  6. Step 6: Final answer
    x = 5,632.43

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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.