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Finding the Fourth Proportional to 13,934.82, 19,229.46 and 7,647.32

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Solution

The fourth proportional to 13,934.82, 19,229.46 and 7,647.32 is: 10,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.82 : 19,229.46 = 7,647.32 : x
  2. Step 2: Convert to fraction form
    13,934.82/19,229.46 = 7,647.32/x
  3. Step 3: Cross multiply
    13,934.82x = 19,229.46 × 7,647.32
  4. Step 4: Simplify right side
    13,934.82x = 147,053,834.05
  5. Step 5: Solve for x
    x = 147,053,834.05/13,934.82
  6. Step 6: Final answer
    x = 10,552.98

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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.