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Finding the Fourth Proportional to 19,546.47, 29,318.97 and 5,695.11

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Solution

The fourth proportional to 19,546.47, 29,318.97 and 5,695.11 is: 8,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.47 : 29,318.97 = 5,695.11 : x
  2. Step 2: Convert to fraction form
    19,546.47/29,318.97 = 5,695.11/x
  3. Step 3: Cross multiply
    19,546.47x = 29,318.97 × 5,695.11
  4. Step 4: Simplify right side
    19,546.47x = 166,974,759.24
  5. Step 5: Solve for x
    x = 166,974,759.24/19,546.47
  6. Step 6: Final answer
    x = 8,542.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.