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Finding the Fourth Proportional to 19,979, 29,969.94 and 7,667

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Solution

The fourth proportional to 19,979, 29,969.94 and 7,667 is: 11,501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,979 : 29,969.94 = 7,667 : x
  2. Step 2: Convert to fraction form
    19,979/29,969.94 = 7,667/x
  3. Step 3: Cross multiply
    19,979x = 29,969.94 × 7,667
  4. Step 4: Simplify right side
    19,979x = 229,779,529.98
  5. Step 5: Solve for x
    x = 229,779,529.98/19,979
  6. Step 6: Final answer
    x = 11,501.05

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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.