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Finding the Fourth Proportional to 13,222.50, 18,247.05 and 7,633.50

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Solution

The fourth proportional to 13,222.50, 18,247.05 and 7,633.50 is: 10,534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.50 : 18,247.05 = 7,633.50 : x
  2. Step 2: Convert to fraction form
    13,222.50/18,247.05 = 7,633.50/x
  3. Step 3: Cross multiply
    13,222.50x = 18,247.05 × 7,633.50
  4. Step 4: Simplify right side
    13,222.50x = 139,288,856.18
  5. Step 5: Solve for x
    x = 139,288,856.18/13,222.50
  6. Step 6: Final answer
    x = 10,534.23

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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.