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Finding the Fourth Proportional to 21,667.70, 32,469.59 and 9,825.09

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Solution

The fourth proportional to 21,667.70, 32,469.59 and 9,825.09 is: 14,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,667.70 : 32,469.59 = 9,825.09 : x
  2. Step 2: Convert to fraction form
    21,667.70/32,469.59 = 9,825.09/x
  3. Step 3: Cross multiply
    21,667.70x = 32,469.59 × 9,825.09
  4. Step 4: Simplify right side
    21,667.70x = 319,016,594.89
  5. Step 5: Solve for x
    x = 319,016,594.89/21,667.70
  6. Step 6: Final answer
    x = 14,723.14

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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.