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Finding the Fourth Proportional to 13,764.23, 20,619.81 and 8,222.01

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Solution

The fourth proportional to 13,764.23, 20,619.81 and 8,222.01 is: 12,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.23 : 20,619.81 = 8,222.01 : x
  2. Step 2: Convert to fraction form
    13,764.23/20,619.81 = 8,222.01/x
  3. Step 3: Cross multiply
    13,764.23x = 20,619.81 × 8,222.01
  4. Step 4: Simplify right side
    13,764.23x = 169,536,284.02
  5. Step 5: Solve for x
    x = 169,536,284.02/13,764.23
  6. Step 6: Final answer
    x = 12,317.17

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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.