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Finding the Fourth Proportional to 19,654.12, 29,485.79 and 6,506.49

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Solution

The fourth proportional to 19,654.12, 29,485.79 and 6,506.49 is: 9,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.12 : 29,485.79 = 6,506.49 : x
  2. Step 2: Convert to fraction form
    19,654.12/29,485.79 = 6,506.49/x
  3. Step 3: Cross multiply
    19,654.12x = 29,485.79 × 6,506.49
  4. Step 4: Simplify right side
    19,654.12x = 191,848,997.78
  5. Step 5: Solve for x
    x = 191,848,997.78/19,654.12
  6. Step 6: Final answer
    x = 9,761.26

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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.