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Finding the Fourth Proportional to 22,447.67, 33,667.70 and 6,652.40

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Solution

The fourth proportional to 22,447.67, 33,667.70 and 6,652.40 is: 9,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.67 : 33,667.70 = 6,652.40 : x
  2. Step 2: Convert to fraction form
    22,447.67/33,667.70 = 6,652.40/x
  3. Step 3: Cross multiply
    22,447.67x = 33,667.70 × 6,652.40
  4. Step 4: Simplify right side
    22,447.67x = 223,970,805.88
  5. Step 5: Solve for x
    x = 223,970,805.88/22,447.67
  6. Step 6: Final answer
    x = 9,977.47

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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.