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Finding the Fourth Proportional to 21,776.26, 32,676.70 and 9,295.11

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Solution

The fourth proportional to 21,776.26, 32,676.70 and 9,295.11 is: 13,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,776.26 : 32,676.70 = 9,295.11 : x
  2. Step 2: Convert to fraction form
    21,776.26/32,676.70 = 9,295.11/x
  3. Step 3: Cross multiply
    21,776.26x = 32,676.70 × 9,295.11
  4. Step 4: Simplify right side
    21,776.26x = 303,733,520.94
  5. Step 5: Solve for x
    x = 303,733,520.94/21,776.26
  6. Step 6: Final answer
    x = 13,947.92

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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.