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Finding the Fourth Proportional to 13,222.76, 18,247.89 and 7,847.98

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Solution

The fourth proportional to 13,222.76, 18,247.89 and 7,847.98 is: 10,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.76 : 18,247.89 = 7,847.98 : x
  2. Step 2: Convert to fraction form
    13,222.76/18,247.89 = 7,847.98/x
  3. Step 3: Cross multiply
    13,222.76x = 18,247.89 × 7,847.98
  4. Step 4: Simplify right side
    13,222.76x = 143,209,059.57
  5. Step 5: Solve for x
    x = 143,209,059.57/13,222.76
  6. Step 6: Final answer
    x = 10,830.50

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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.