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Finding the Fourth Proportional to 14,314.49, 19,753.97 and 7,942.04

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Solution

The fourth proportional to 14,314.49, 19,753.97 and 7,942.04 is: 10,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.49 : 19,753.97 = 7,942.04 : x
  2. Step 2: Convert to fraction form
    14,314.49/19,753.97 = 7,942.04/x
  3. Step 3: Cross multiply
    14,314.49x = 19,753.97 × 7,942.04
  4. Step 4: Simplify right side
    14,314.49x = 156,886,829.57
  5. Step 5: Solve for x
    x = 156,886,829.57/14,314.49
  6. Step 6: Final answer
    x = 10,960.01

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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.