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Finding the Fourth Proportional to 21,771.36, 32,667.96 and 8,633.28

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Solution

The fourth proportional to 21,771.36, 32,667.96 and 8,633.28 is: 12,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.36 : 32,667.96 = 8,633.28 : x
  2. Step 2: Convert to fraction form
    21,771.36/32,667.96 = 8,633.28/x
  3. Step 3: Cross multiply
    21,771.36x = 32,667.96 × 8,633.28
  4. Step 4: Simplify right side
    21,771.36x = 282,031,645.71
  5. Step 5: Solve for x
    x = 282,031,645.71/21,771.36
  6. Step 6: Final answer
    x = 12,954.25

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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.