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Finding the Fourth Proportional to 13,439.22, 18,546.74 and 7,471.50

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Solution

The fourth proportional to 13,439.22, 18,546.74 and 7,471.50 is: 10,311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,439.22 : 18,546.74 = 7,471.50 : x
  2. Step 2: Convert to fraction form
    13,439.22/18,546.74 = 7,471.50/x
  3. Step 3: Cross multiply
    13,439.22x = 18,546.74 × 7,471.50
  4. Step 4: Simplify right side
    13,439.22x = 138,571,967.91
  5. Step 5: Solve for x
    x = 138,571,967.91/13,439.22
  6. Step 6: Final answer
    x = 10,311.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.