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Finding the Fourth Proportional to 13,830.44, 20,754.30 and 5,622.44

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Solution

The fourth proportional to 13,830.44, 20,754.30 and 5,622.44 is: 8,437.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.44 : 20,754.30 = 5,622.44 : x
  2. Step 2: Convert to fraction form
    13,830.44/20,754.30 = 5,622.44/x
  3. Step 3: Cross multiply
    13,830.44x = 20,754.30 × 5,622.44
  4. Step 4: Simplify right side
    13,830.44x = 116,689,806.49
  5. Step 5: Solve for x
    x = 116,689,806.49/13,830.44
  6. Step 6: Final answer
    x = 8,437.17

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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.