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Finding the Fourth Proportional to 14,636.25, 21,954.38 and 5,402.25

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Solution

The fourth proportional to 14,636.25, 21,954.38 and 5,402.25 is: 8,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,636.25 : 21,954.38 = 5,402.25 : x
  2. Step 2: Convert to fraction form
    14,636.25/21,954.38 = 5,402.25/x
  3. Step 3: Cross multiply
    14,636.25x = 21,954.38 × 5,402.25
  4. Step 4: Simplify right side
    14,636.25x = 118,603,022.34
  5. Step 5: Solve for x
    x = 118,603,022.34/14,636.25
  6. Step 6: Final answer
    x = 8,103.38

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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.