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Finding the Fourth Proportional to 14,230.60, 19,638.12 and 7,942.96

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Solution

The fourth proportional to 14,230.60, 19,638.12 and 7,942.96 is: 10,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.60 : 19,638.12 = 7,942.96 : x
  2. Step 2: Convert to fraction form
    14,230.60/19,638.12 = 7,942.96/x
  3. Step 3: Cross multiply
    14,230.60x = 19,638.12 × 7,942.96
  4. Step 4: Simplify right side
    14,230.60x = 155,984,801.64
  5. Step 5: Solve for x
    x = 155,984,801.64/14,230.60
  6. Step 6: Final answer
    x = 10,961.22

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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.