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Finding the Fourth Proportional to 13,934.16, 19,229.76 and 7,647.12

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Solution

The fourth proportional to 13,934.16, 19,229.76 and 7,647.12 is: 10,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.16 : 19,229.76 = 7,647.12 : x
  2. Step 2: Convert to fraction form
    13,934.16/19,229.76 = 7,647.12/x
  3. Step 3: Cross multiply
    13,934.16x = 19,229.76 × 7,647.12
  4. Step 4: Simplify right side
    13,934.16x = 147,052,282.29
  5. Step 5: Solve for x
    x = 147,052,282.29/13,934.16
  6. Step 6: Final answer
    x = 10,553.37

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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.