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Finding the Fourth Proportional to 14,230.24, 19,635.92 and 7,942.88

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Solution

The fourth proportional to 14,230.24, 19,635.92 and 7,942.88 is: 10,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.24 : 19,635.92 = 7,942.88 : x
  2. Step 2: Convert to fraction form
    14,230.24/19,635.92 = 7,942.88/x
  3. Step 3: Cross multiply
    14,230.24x = 19,635.92 × 7,942.88
  4. Step 4: Simplify right side
    14,230.24x = 155,965,756.25
  5. Step 5: Solve for x
    x = 155,965,756.25/14,230.24
  6. Step 6: Final answer
    x = 10,960.16

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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.